Estimate h' (3) using the table above.

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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Q: find derivative of g(x)=integration3x2x (u2-1)/(u2+1) du

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Q: Find the derivative. h(x) = In(cosh(7x)) h'(x) =

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Q: Find the first derivative: y= ln v5x3 –- 2 5, O y = 222 %3D 523-2 O y' = 322 5z3-2 O y' = 622 5z3-2…

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Q: Find the derivative using the long method y = vx + 2

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: ; Compute the derivative of the function: f (x) = (+ Inx)² а.

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Q: Compute the derivative in terms of log for y=log(xe^(-3x))

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Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

Q: Find the derivative of the function using 3-step rule: v (t) = -.

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Q: Find the derative: yain Jx2+4x+1 derivative.

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Q: Find the derivative of y =log2x

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Q: Find the equilibria of the differential eq

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Q: Find the derivative of the function. y= log sv7x +3 dy dx I3D

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Q: Calculate the derivative: + (2t3 – 9t) dt = dz

A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0

Q: compute the derivative. f (x) = ln(ex − 4x)

A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…

Q: Calculate the derivative. 1 y = log 5x y' =0

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Q: 1 y = ┤㈑┤慈┤

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Q: Compute the derivative of the fo f(x)= 2x+3x ex

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Q: 10. y = Jx

A: We have to find derivative of - y=f(x)=1x using delta method. Delta method to find derivative is…

Q: Find the derivative of y= ln (6X^2+3X)^3/(7X-2)

A: Topic-Derivative

Q: Find dy/dx by implicit differentiation. x4 + yA 5

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Q: Compute the derivative of ln r3 –1 V2x+5x²

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Q: Determine the derivative of y. アミeV10x+5

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

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Q: 2. use the fundemental derivative formula to differential the folwing at x=2 • gex) = 3x-1 2メ+1 (1o…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Compute the derivative: 4 te* dt d 3z2 L tet dz -1

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Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

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Q: Calculate the derivative. 3 y = log 3X y' =D

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Q: Approximate the derivative of f(x) = x² + 4x + 5 at x = 3 using the forward, backward, and central…

A: f(x) = x2 + 4x + 5 h = Δx = 2 xi = 3         f(xi) = 26 xi+1 = 5          f(xi+1) = 50 xi-1 = 1…

Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: Calculate the second derivative y : Vx - Vy = 1

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Q: Find the derivative of y = log2 4x Ox/In4 O 1/xln4 O4/1n4 @ 4/xin4

A: To solve the following problem

Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Find the derivative of y = csc(V3x² +1

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Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: Find the derivative of ƒ(z) = ln2x 1. 2z

A: We first expand using the addition property of log.

Q: Find the 2nd derivative of the given function fCt) = t² Int

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Q: Find the differential of the function y=lntan2x at x=π/8.

A: Given: ,at x=π/8 Differentials are infinitely small quantities. Use the term for differentials as…

Q: Which is the first derivative of y=vx ?

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Q: Find the nth derivative of the function y=xlnx at x=1.

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Q: Use Delta method to find the derivative of e*

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Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: Find the 1st and 2nd derivative of: Vx + Jy = va

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Q: b) y = cosh(2Vx+1)

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Q: Which is the first derivative of y=vx ? *

A: Given Data: y=x Formula: d(xn)dx=nxn-1