s(x) = e" ln(x)+ sec(x)

Q: In the given question as follows/, find the second derivative of the function.   f (x) = (3 +…

A: f(x)=(3+2x)e-3x

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

A:

Q: Find the first derivative of y = e3x. 3e3x

A:

Q: 2. x² + 4xy + y² = 1

A: Differentiation

Q: Find the derivative using the logarithmic y=ln (x+1)/x^2-2

A:

Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below:

Q: ex = cosy

A:

Q: y = log v2x + 5

A: i have provided this answer with full description in step-2.

Q: Find the derivative of k(x) = log3(x) cos

A:

Q: y = ln 1-x² 1+x²

A:

Q: Find the derivative of the following function. ​[ln(x^8)]3

A:

Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: Find the derivative of the function.

A:

Q: What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural…

A: We will take the logarithm with base e and then find the derivative with respect to x and then…

Q: In the given question as follows, find the derivative of the function.   y = ln(2 - e5x)

A:

Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: Find the derivative of the function g(x) = log3 √(1 − x)

A:

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

A:

Q: Find the derivative of the function y = log4 (6x + 1)

A: Given information: y=log46x+1 Log rule: logab=lnblna

Q: 4. Find the derivative of the following function 1 y = xtanx + -

A:

Q: Find the derivative of the following functions:     1. y= 3 ln (x)?

A:

Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

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

A:

Q: Find the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

Q: How to solve the derivative of this

A:

Q: find the first derivative of   F(x) = e(x+5)

A: Given,

Q: What is the first derivative of s(æ) = 4e"*.

A:

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: 5. y³ = 4(y + x²)

A:

Q: Calculate the derivative of the following function. y=2 log5 (x -3) 2 log5 (x-3) = (²-3) =] dx

A:

Q: calculate the derivative of the following function. [ln(x^8)]^3

A:

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 derivative of the function. f(0) = 3 ln(6)Pe

A:

Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

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: f y = (sin x)x b

A:

Q: Find the derivative of the following functions and simply it whenever possible. 5. y = 4x ln 4x

A:

Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

A:

Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

A:

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

A:

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

A:

Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative