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

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

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

A:

Q: What is the derivative of `y=\ln\ x`?

A:

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

A:

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

A: Here given Use the formula of product rule of derivatives as

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. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the derivative.

A:

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

A: We use the product rule to find the derivative

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 derivative of the function. y = ln(ln x)

A:

Q: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

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

A:

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

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

A:

Q: Find the derivative. y = (ln x)2

A:

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative of y=sinh-17x

A: Given:y=sinh-17xHyperbolic Identity:cosh2x-sinh2x=1Differntiation formula:ddxsinx=cosx

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: find the derivative of ln(3x^2+e^x)

A:

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 following function. y= 4 ln x – In(x-8)

A: we have to derivative

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

A: Consider the provided question, We have to find the derivative of the given function,

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

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

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

A:

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 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 the function. f(x) = x6 ln(x)

A:

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (θ + 1) - eθ

A:

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

A: Given function is

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

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: Find the derivative of the function. f(x) = ln(x − 1)

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. f(x) = ln(x2 + 3)

A:

Q: Find the derivative. y =(ln(ln x))3

A:

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 y with respect to the givenindependent variable. y = log2 (8tln 2)

A: We first expand the equation using the addition property of log and the change of base property.

Q: Find the first derivative y= ln(3x)

A:

Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

A:

Q: Find the derivative of y with respect to x    y=ln(x-7)

A:

Q: Find the derivative of the function.

A: Given

Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

Q: 4. y=ln(4x' +5)

A:

Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(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 function y = 1/ln(1 − 7x)

A:

Q: Find the derivative of f(x) = x/ln (x)

A:

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

A: