Find f such that f′(x)=8x​, ​ f(4​)=47.

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Find the directional derivative of f at the point (1,2) in the direction of the vector v = = (1, 3).

A:

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Find f-1(x) for the following: f(x) = 3 – x

A:

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: Let f(x) = 6x + 6 ƒ-¹(x): =

A:

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Find f such that f' (x) = 8x – 7, f(6) = 0. %3D f(x) =

A: Given: f'(x) = 8x-7,    f(6)=0 We need to find f(x)

Q: Find fxxx for f(x,y)=x2y2

A: