Calculate the derivative of the function. Then find the value of the derivative as specified. g(x) = x° + 5x; g'(1)

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: y' +y = x*

A: Given: y3+y=x4

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

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.

A: We are given with the function g(x) and need to find the derivatives

Q: Find the derivative of the following function y = xsinx

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 derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which…

Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: Find the derivative of the function. y = (tan-(7x))2

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 y with respect to x in the following equation.

A: Using chain rule of differentiation

Q: Find the derivative of the function

A:

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

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 derivative of the function: y = tan-(– 2x + 4)

A:

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 derivative of y = sin(-* e-X 2ex + 1

A:

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 the function. y = e-9/x

A:

Q: Find the derivative of y with respect to x. y= csc^-1 (x^2+1) , x>0

A: Given ,

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 derivative of the function y = e2x tan 2x

A:

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

A:

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 first order derivative of the function

A: We have to solve

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

A:

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. g(x) =…

A:

Q: Find the derivative of the following function. X- y = 3 sin x -3 dx X- sin x =

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: -6-X 1.) y = cos -6.x3 y =

A: We have to find the derivative of the function: y=cos-1 -6x3 We know the formula of derivatives,…

Q: Find the derivative of y with respect to x y = csc^(-1)(x^6 + 1), x> 0

A: Find the derivative of the given function.

Q: Find the derivatives of the functions y = x-2 sin2 (x3)

A: We have to find derivatives of the functions: y=x-2 sin 2x3 We know formula of differentiation,…

Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

A:

Q: Find

A:

Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

A:

Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: second

A: y'=ddxlog x-1x+1=1(x-1)1/2(x+1)1/2 ddx x-1x+1 =1(x-1)1/2(x+1)1/2121(x-1)1/2(x+1)1/2 ddxx-1x+1…

Q: Find the derivative of the fx and evaluate the derivative at the given value of a. f(x)=(sin…

A: Given that, f(x) = (sinx) ln(10x) a = π2 We have to find the derivative of f(x) at point a.

Q: Find the derivative of the function   y = x sin1/x

A:

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 first derivative of v with respect to x

A: Given,