y = ln (7x³ + 5)* 4

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

A:

Q: Find the second derivative of the function.        f(x) = 4x5 − 2x3 + 5x2

A:

Q: Find the derivative of h(x) = (3x − 2x2)(5 + 4x)

A: We first expand h(x)

Q: What is the derivative of y = 3x²tan-1(x)?

A: ddxxn=n xn-1ddxtan-1x=11+x2 One have to use product rule here, which is ddx(uv)=vddxu+uddxv

Q: Use logarithmic differentiation to expand and differentiate y =(x+4)8 / sqrt x4+9

A: we have given y=x+48x4+9now apply log both sides ,we getlog y=logx+48x4+9=8log(x+4)-12log(x4+9)now…

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (8x4…

A: Given: y=8x4+53

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

Q: Differentiate  f (x) = 1/ln(x4 + 5)

A: We have the given function as fx=1lnx4+5         ⋯⋯1 We know that, from the quotient rule of…

Q: What is the first derivative of 2x^2 + 3x + 5

A: find differentiation:-

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

A:

Q: The first derivative of f(×)=(5x4 - 6x)1/3

A:

Q: Find the derivative of function. y = log2(2x2 - x)5/2

A: Given, y = log2(2x2 - x)5/2 To Find the derivative of function.

Q: Find the second derivative of the functionf(x) 3Vx+2 2x+1

A: Given

Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

A:

Q: Find the third derivative of f(x)=12x0 –3x² +4x°+5x²+6

A: Given

Q: Find the second derivative of the function f(x) = 5x2(x + 47) %3D

A:

Q: Differentiate: f(x)=ln(x5−5/x3) f'(x)=

A: We have to find

Q: Find the derivative 14x y = ln 3x2 + 1

A:

Q: Find the derivative. y = ln(9x2 − 8)

A: Given The chain rule of derivative is given by

Q: Find the derivative of: (4ln(x)+4)/(x1/2)

A: Derivative question

Q: Find f′(x). f(x)=5x4 ln x

A:

Q: Differentiate the following function.   y = ln(3x+1) - ln 3

A: We need to differentiate the following function.   y = ln(3x+1) - ln 3

Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

A:

Q: What are the domain and range of ln x?

A: Given: y=lnx we know that in lnx, x>0 so, domain of given function is x>0

Q: 6 Find the derivative of: 4x° + 2x10

A: We have to find the derivative of  4x6 + 2x10.

Q: x (2x+3) f(x) = (x² +1)*

A:

Q: use the chain of rule to differentiate f(x) = (x^10+ln(x))^10. What is the value of f^1(l)?

A: The given function f(x)=x10+ln x10

Q: find the derivative. y = ln(9x2 − 8)

A:

Q: Find the fourth derivative of x3 + 2x2 - lnx.

A: Given :- f(x) = x3 + 2x2 - ln(x)  To find:- Fourth derivative of f(x)

Q: Differentiate  y = ln(4x2 - 2x + 9)

A: To differentiate  y=ln(4x2-2x+9) The given function is a composite function, Hence, let u=4x2-2x+9…

Q: Differentiate the function. y=(4x– 1)* (2 -x³) ² dx

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Find the derivative: y=ln(x200e4ln(x^2)-4ln(x)+3)

A:

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

A:

Q: Find the derivative of f (x) = (x – 4) / 10x3 + 1.

A: Given,

Q: Find the derivative of the function y = log3(x2 − 3x)

A: Consider the following: y=log3x2−3xDifferentiate w.r.t.…

Q: find the derivative of x+1/7x^2+8x+7

A:

Q: Find the second derivative of f (x) = 3e5x− 8e-6x

A: Given ,  f (x) = 3e5x-8e-6x we have to find the second derivative of the given function.

Q: Differentiate the function. y = ln (square root of 5+8x/5-8x)

A: Given that: y=ln5+8x5-8x

Q: Differentiate the function. y=ln(x5sin2x)

A: Given function:

Q: у 3 1og(3 - 4x + х')

A:

Q: Find the derivative f(x) = log7 (6x*+3)

A: We need to evaluate the derivative of,

Q: Integrate the function. dx x2 ', x > 8 Vx2 - 64

A: To integrate the given function

Q: Find the derivative off(x) = 5(7x3−2x+ 1)−3.

A:

Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: find the average rate of change for f(x)= 3x2-x+5 from x=2 to x=2+h in simplified form

A: Given function:

Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…