(x) -3 -2 -1 1 f(x) -5/2 -3 -2 2/3
f'(x) -1 1/3 6/5 4/3

The table above gives values of the differentiable function f and its derivative for selected values of x.
(a) Let g be the function defined by g(x)=f(x^2)/e^x. Find g′(−1)
(b) Let h be the function defined by h(x)=f(f(−2x)). Find h′(1)
(c)Let k be the function defined by k(x)=f(x)⋅ arcsin(x/2). Find k′(−1)

In the diagram below, tan θ = sqrt 3. what is the value of m?

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.

What is the reflection image of (5,-3) across the line y = -x?