Use the given graph to estimate the value of each derivative. y= f(x) 1 0. 1 (a) f'(-3) (b) f'(-2) (c) f'(-1)

Q: Find the derivative of y = 6e x – cosx.

A: Given function, y=6ex-cosx Used formulas, ddxcfx=cddxfx  c=constantddxex=exddxcosx=-sinx

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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Q: What is the derivative of ex? What does it mean that the derivative is equal to the value of the…

A: Explanation of the solution is given below...

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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Q: Find the second order derivative if  y = xx

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Q: Find the derivatives of the functions in Exercis y = xe-x + ex3

A: y=xe-x+ex3

Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of the function. 12) y = 2 secó x

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Q: 45. y = cos vsin(tan x)

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Q: Find the derivative of f(x) = (Cosx)*

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Q: Find the 3rd derivative of the function y=excosx.

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Q: Find the derivative of the function without using the Quotient Rule. y

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Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Find the derivative y = cosh(2x)

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Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

Q: Find the derivative of the function without using the Quotient Rule. y =

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Q: Find the derivative of the cosecant function y=cscx.

A: Given: y=cosecx we know that cosecθ=1sinθ similarly, y=cosecx=1sinx

Q: cosx y =-

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Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

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Q: find the derivative of y with respect to the appropriate variable.23. y = (x2 + 1)sech (ln x)

A: Definition used -             ddxsech(x) = -tanhxsechx          Product rule of derivative -…

Q: Find the derivative of f(x)= (x^2)sinx

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Q: The second derivative of the function is y = arctan 2x

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Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: Find the 3" derivative of the function y=f(x) given by the equation y' = 2x.

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Q: Find the derivative of the function. y = tan−1 (square root of x - 4)

A: Consider the given function. y=tan-1x-4 The objective of the problem is to find the derivative of…

Q: find the derivative of y with respect to x. y= ln3x

A: We can solve the given problem using chain rule derivative.

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: What is the value of the second derivative y" at the point (4,3)

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Q: What is the derivative of f(x)=2sin(x) at the point x=−π/2?

A: To find the derivative of fx=2 sinx, at the point x=-π2.

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: Find the derivative of the secant function y=secx.

A: The give function is y=secx.

Q: 2 Find the derivative of y = arctan(x´ + 3)

A: We have to find the derivative of the given function.

Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: Find the derivative of y with respect to the appropriate variable. y = cosh12 x+ 5

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Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find the derivative of the function.

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Q: Find the derivative of the function. f(x) = /5 +x sec x [5+x secx

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Q: Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which…

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Q: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Find the derivative of the function without using the Quotient Rule. y = -

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Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: calculate the derivative y = cosh−1(3x)

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Q: x² q(x) =- sin(x)

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Q: 2.) y = tan¬1 – 6•x³ y' =

A: We have to find the derivative of the function: y=tan-1-6·x3 We know the formula of derivatives,…

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

A: Since you have asked multiple questions in a single request, we would be answering only the first…