A table of values for an invertible function f, and its derivative f' is given: x f(x) f'(x) | 2 2 10 4 6 11 6 4 10 If g(x) = f(x), find g'(4).

Q: Let f(x) be a one-to-one function such that f(2)=5 and f'(2)=-4.  Find f(-1)'(5)

A:

Q: The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

A: We have to find the derivative of the following function -  f(x) = 1x3

Q: Let f(x) : Find f'(x). (Suggestion: rewrite the function before differentiating it.) х +

A: Solution

Q: Let f(x) and its linear derivative f'(x) be defined for all real numbers. Use the table of selected…

A: Step 1:Step 2:

Q: nd an example of a function f(x) such that the third derivative f"(x) is equal to 0 for all x, and…

A:

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) > 0

Q: Find the general form of f if f'(x)= 9f(x). f(x) = ]

A:

Q: Let f(x) = x g| where g(x) is a function. 2 Which is the correct expression for f'(2x) ?

A: Given function f(x) - f(x) = x gx2To find out f'(2x), we first differentiate f(x) with respect to x,…

Q: Determine f ″ ( x ) for f(x) = sec x

A: Given function: fx=secx

Q: f(x) = x(=") – (x*)*, x > 0. – (2*)*, x > 0. %3D

A: We have to find the derivative of  f(x)=x(xx)-(xx)x ,  x>0

Q: Consider the following function: f(x) = 2 8 - 9 - Step 1 of 4: Determine f'(x) and f "(x).

A: on differentiation we get