j. y=5 ln (x² +4)

Q: Find the derivative of the function. y = 3 cot nx

A:

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: Find the derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: Find the derivative of the following: y = ln( x^5 + 7) ^ 4pi

A:

Q: y' +y = x*

A: Given: y3+y=x4

Q: Find the derivative of the following function. y (In ]x + 4|)7 dy

A: Differentiate w.r.t to x

Q: Find the derivative of the function y = e√x

A:

Q: B) Find the third derivative of the function: Y = +VX

A:

Q: Find the derivative of the function. y = ln[t(t2 + 3)3]

A: We first expand the given expression using the properties of logarithm

Q: Find the derivative of the function.

A: Given: y=log5x2-1 To Find: Derivative of the function Concept: logab=lnblna

Q: Find the derivative of the function. f(x) = e* logg(]x|)

A: Using Derivative rule of product of two functions.

Q: Find the derivative Of g(t)=ln(e^-t+2t)

A:

Q: Calculate the derivative of the following functions.

A: y=1-e-0.05x-1

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

Q: Find the derivative of f(x) = e*?+1

A: Given, f(x)=ex2+1

Q: Find the derivative of the function f(x)=ln(10e^13x−7).

A: Note: Since you didn't use parenthesis while writing the function, there can be two possibilities…

Q: Find the first derivative for y = e

A: Given function is, y=e

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

A: Given that y=lncothx

Q: Find the derivative of the following functions without skipping steps y = - cos ? (3x) + ctg² (5x³)…

A:

Q: Find the derivative of the following function. y = 4 sec x+3 csc x dy dx ||

A:

Q: Find derivative of the following functions: i. In(x*sinh x) ii. y = csc e* 7x

A:

Q: Find the derivative of the function. h'(t) = h(t) 2 sinh(−4t)

A:

Q: Find the derivative d/dx(x).

A: Given the derivative  ddxx

Q: Find the derivative of the following function.: y=ln(x2+4)2π

A: The given function is,

Q: Find the derivative of the function y = e−8x

A: Given: y=e-8x we know that ddxekx=kekx

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

A:

Q: Find the derivative of the function = ex? y =

A: y=ex7

Q: Find the derivative of the function.

A: Given function is y=2ex+e-x Chain rule of differentiation states that: ddxfgx=f'gx g'x…

Q: Find the derivative. d (Wx+Vx) =] dx

A: Differentiate wrt x

Q: Find the derivative of the function. y = e-9/x

A:

Q: Find the derivative of the function. y (x + 1) coth) x-Cch

A: Topic - differentiation

Q: Calculate the derivative of the following functions. y = csc (t2 + t)

A: Given function is y=csc(t2-t)

Q: Find the derivative of the function.

A:

Q: What is the derivative of the function y = sinh(e*)

A: Given that:y=sinhexTo find dydx

Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: Calculate the derivative of the following functions

A:

Q: Find the derivative of y = tanh e^(7x)

A:

Q: B) Find derivative of the following function d dx 6tanz

A: A detailed solution is given below.

Q: Find the derivative of the following function. 8x e y= In 4x y'=

A:

Q: Find the derivative of each function of y = e5x

A: We have to find the derivative of the given functuon y=e5x

Q: Calculate the derivative of the following function. y = (3x+ 4) dx

A: y = (3x+4)3  we use chain rule to solve the problem

Q: Find the derivative of the following function. y = 2 sec x+ csc x dy dx

A: The given function is,

Q: Find the third derivative of the function : y = Vx

A:

Q: Find the derivative of the function y = 3e−3/t

A:

Q: Find the derivative of the function. y = ln(t + 1)2

A: On simplification, we get

Q: Calculate the derivative of the following functions

A: Given:         y=ex2+1 sin x3 on differentiating       dydx=ex2+1 ddxsin x3+sin x3…

Q: y = x'e**

A:

Q: Find the derivative of the function

A: Given,

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

A:

Q: Find the derivative of the function.

A: Here given function  y=ex-1ex+1