(8) Compute 100 [ f(x) dz 3 f(x) dx where f(x) = √9-x² ³x+3 if -3

Q: Find intervals where g(x) = 3x − x3 is increasing

A:

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

A:

Q: Find invers of function f(x)=1/2x+1

A:

Q: Let f(x) = 9x + 12 ƒ-¹(x) =

A: Solution:

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: f(x)  =  x3 − 3x2 is increasing on the interval  0  ≤  x  ⩽  1 TRUE OR FALSE?

A: Given: f(x)  =  x3 − 3x2     To determine: The interval of increasing.

Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) >0 f(x)…

Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

A:

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: What input is NOT allowed for f(x)= 1/5x-25

A: