2. In y = 2" + x cosh 2x

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: find the derivative of tihe unction?

A:

Q: fla)=-sinx (): In, Cosx

A:

Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

A:

Q: 3.

A: Indefinite Integration

Q: HiHtar is THe secoyd derivative OF Y

A:

Q: Find the derivative of ƒ (x) = 5ª In (x).

A:

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Use forward, backward and central difference to estimate the first derivative of f (x) = In at x =…

A: Given function is fx=lnx and x=3 Step size h=0.01 We have to estimate the first derivative of fx=lnx…

Q: Show that the derivative of the function sinh -¹ x can also be obtained by letting y = sinh -¹ x and…

A: Soln:To find the derivative of sinh-1x

Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

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

A:

Q: 2.) Find 1st derivative of y = e-'In (x-1)

A:

Q: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: Find the first four derivative  if  y= cosx

A:

Q: In(cos(x)) cos(In(x)) Find the derivative of

A: Quotient Rule of differentiation: ddxuv=vdudx-udvdxv2

Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

A:

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

A:

Q: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: 1 y = ┤㈑┤慈┤

A:

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

A:

Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: FInd the derivative of f(x) =ln 1+ex/1-ex

A:

Q: Find the derivative of f(x) = –4 ln (5 cos (-4x))

A:

Q: cos X sin x + cosX

A:

Q: Compute the derivative. Use logarithmic differentiation where appropriate. 10 1+ dx 10 1+ dx 10 In…

A: Answer: ddx1+10xx = ln1+10x-10x+10 1+10xx

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 most general anti-derivative

A:

Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log25 ex - log5 √x

A:

Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…

A: Let  A=π r2 differentiating A with respect to time tdAdt=2πr…

Q: Find the derivative of the function f(x) = (3+arctanx)^(ln(x^2 +1))

A: Apply exponent rule:

Q: Find the derivative of f ( x ) = 6 sin ^2 ⁡( x ) + 6 cos^2 ⁡( x ) at x = -6.5

A:

Q: Find the derivative of y with respect to x for y=2x   ???

A: y=2x

Q: Find the derivative of (ex + e-x )/(ex - e-x )

A:

Q: is the derivative of In

A:

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

A:

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

A:

Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: Find the derivative. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: Compute the derivative of y= sqrt(3−x2)+sin^−1(5x).Answer: y′=

A: The formulas that we use is written on the board .

Q: Find the derivative of nin (cosu). Where n=540

A:

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

A: