g'(x) h'(x) (or the one sided limit, as required): 5. In each case, find g'(x) and h'(x), then find limx→a (a) g(x) = cos(x) - 1, h(x) = sin²(x), a = 0. (b) g(x) = e²-2(x − 3) + 1, h(x) = x² + 2x − 8, a = 2. - (c) g(x) = ln(3|x|), h(x) = 1/√/\|x|, a = 0, limit from above (i.e., from the right).

Q: 1-cos' (x) lim

A:

Q: Find the derivative by using the definition f(x + h) – f(x) f'(x) = lim where f(x) = v4x +7 h+0

A: given                  f(x)=4x+7

Q: Using the graph below, determine which function is f(x),f'(x), В A f(æ) = f'(x) = f''(x) = (в х C…

A: Ans             f(x) = C                   f'(x) = A                  f''(x) = BBy convexvity graph…

Q: Use the four-step definition of the derivative to find f'(x) if f(x) = 5x 4. f(x + h) = f(x + h) –…

A:

Q: 1) For each of the following functions, f(x), find f'(0). (a) f(x)= –30x² + 3x (b) f(x) = x²e"…

A:

Q: g(x) = 1 + √x

A: Given g(x) = 1 + √x

Q: 2. For f(x) = x tan-(x), find f'(x).

A:

Q: find the derivative  f(x) = (x-1)3 (x- 1/x)4

A: