Find the derivative of the function. y = esin(5x) + sin(e5x) y' =

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= ln x3

A: Given:

Q: Find the derivative of the function. y = ln(2 − e5x)

A:

Q: Find the derivative of the function. f(x) = ln 3x

A:

Q: Find the derivative of the function y = 8 cos(2x)

A:

Q: Find the derivative of function. y = ln(2 - 5x)

A: we have to find the derivative of y = ln(2 - 5x)

Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: Find the derivative of the function y = etan(e) y' =

A: Explanation of the answer is as follows

Q: Find the first derivative of y = (ln x)4

A: Given the  y = ( ln x)^4 We need to find the first derivative . Therefore differentiate to given…

Q: Find the derivatives of the functions y = ln (sin2 θ)

A: Given equation:

Q: Find the derivative of the function. y = sin-(9x + 1)

A:

Q: Find the derivative of the function. y = (ln x)4

A:

Q: Find the derivatives of the functions y = ln (sec2 θ)

A:

Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Find the derivative of the function. y = ln√(x2 − 4)

A:

Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: Find the indicated derivative of the function. for y = -4 cos X dx4

A:

Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

A:

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Find the 62th derivative of y = cos(x)

A: y=cos (x)

Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

Q: Find the derivative of the function. 1- e3x 1 + e3x y = cos y' =

A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

A:

Q: Find the derivative of the function y = ln 4x / (x − 6)

A:

Q: Find the derivative of the function. y = ln∣csc x∣

A: Given data:   The given expression of the given function is: .   Substitute u for csc x in the given…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

A:

Q: find the derivatives of y=sin(ln|2x+1|)

A: y=sinln2x+1

Q: find the first order derivative of the function

A: We have to solve

Q: Find the derivative of the function

A:

Q: Find the derivative of the function y = cosh−1(3x)

A:

Q: 2. Find the derivative of the function. y = e* In (sinæ)

A:

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 y with respect to x, t, or θ, as appropriate. y = ln (θ + 1) - eθ

A:

Q: y = cof'/ x2-1 x²+

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1/ln 3x

A: Given:

Q: Find the derivative of the function. y = ln(x√x2 − 1 )

A:

Q: Calculate the derivative of y = e1+sinx.

A: Given, y = e1+sinx.

Q: Find the derivative of the function - 3x f(x) = 3 ln(x) + e - df dx

A:

Q: Find the derivative of the function g(x) = ln √2x

A:

Q: Find the derivative of the function.

A: Given

Q: c. Find the derivative of y =+- et x3 cOS X 2

A:

Q: Find the derivative of the function. y = ln∣sin x∣

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln 3x + x

A:

Q: 11) Find the first derivative of y = (ln x)*

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

Q: Find the derivative of the power function y=xn.

A: y= xn To find the derivative of y

Q: Find the derivative of the function y = 1/ln(1 − 7x)

A:

Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

A:

Q: Find the derivative of the function y = ln 5x/(1 − x)

A: