Suppose that f and f-1 are both differentiable. Moreover, ƒ(1) = 2, f'(1) = 2, ƒ'(2) = 3. Find the derivative at the indicated points To compute (f-1)'(2), you may begin with f-1(y) = x, use the chain rule, and set y = 2. (f-1)'(2) Choose... + E f(f(x)) at æ = 1 Choose... + In f(x) at æ = 1 Choose... +

Q: Let f(1) = 6, f'(1) = 7, g(1) = 4, g'(1) = 5, f(6) = 2, and f'(6) = 5. Calculate the following…

A: Use the chain rule of derivative and put x=1 than simplify using only those values which requires.

Q: Assume that f(0) = 2 and f'(0) = 3. Calculate the derivative of the following function at x = 0.…

A: GIVEN DATA : Function fx5                          f0=2                           f'(0)=2 TO FIND :…

Q: If f(t) = (2t - ), find ƒ' (t).

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Q: Find the derivative. h'(w) = = h(w) = (w4 - 5w)4 4(w² - 5w) ³. (4w ³ - 5) x

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

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Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

Q: The tangent line to the graph y = f(x) at (-4, 7) passes by the point (-1, 13). Find the value of f…

A: The slope of a line passing through the points  is given by the formulaThe Tangent line to a…

Q: If f is one-to-one and f(1) = 5, f(3) = 7, and f(8) : - 10, find f-'(7), ƒ¯'(5), and f¯'(-10).

A: f is one to one and given  f(1)=5    therefore f-1(5)=1 f(3)=7    therefore f-1(7)=3 f(8)=-10…

Q: Use technology to find f'(2), f'(15), f'(-3) for the given function when the derivative exists. f(x)…

A: Step 1:   Step 2: Step 3: Step 4:

Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: Find the derivative of the function f at any real number c. Use the form f'(c) = lim X→C f(x) = 3 -…

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Q: if f''(x) = 0 an inflection point, what can be said aboutthe sign of  f'''(x)?

A: We have to fund the condition for f"' (x) for a inflection point  to happen.

Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Given f(x) 2x + 5 x + 8 > verify f'(x) = a) State the domain of f(x): b) State the domain of f'(x):…

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Q: Find F'(-3) given that f(-3) = -5, f'(-3) = -6, g(-3) = 4, g(-3) = -1, and F(x) = f(æ)g(x). F'(-3) =

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