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- What is the composition of two functions, fg ?1.Find the derivative of the function. y=2x−5/7x+3 The solution is y′=nothing.Given f''(x)=6x-6 and f'(-2) = 3 and f(-2) = - 3.f'(-2) = 3. Then solve for C, giving you the first derivative function. Now integratethis function, and use the second fixed point given to solve the second part of the problem. Find f'(x) and find f(3)
- Find the derivative ƒ′(x) of the given function y = ƒ(x). b. Graph y = ƒ(x) and y = ƒ′(x) side by side using separate sets of coordinate axes, and answer the following questions. c. For what values of x, if any, is ƒ′ positive? Zero? Negative? d. Over what intervals of x-values, if any, does the function y = ƒ(x) increase as x increases? Decrease as x increases? How is this related to what you found in part (c)? 51. y = -x2 52. y = -1/x 53. y = x3/3 54. y = x4/4f(x) = x2 - 4x + 7; x = 3/2, x = 2. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find the slope of the tangent line to the graph of f at each of the two values of x given to the right of the function.h(x)=13x^3-2x+1,000 The derivative of h(x) is: Choose the correct answer
- Eliminate the constant/constants from the following equations. (Refer to the note) (x-C)2 + y2 = C2 Note: After getting the derivative, express the result so that you will have an equation for C in terms of x, y, and dy/dx. Then substitute this equation to the original given equation and express the final equation without the constant C.1 -) 100 is equal to The derivative of the function esin af(x) = 3.2x2 + 2.1x; x = 0, x = 4.Solve,a. Find the derivative of f at x. That is, find f′(x).b. Find the slope of the tangent line to the graph of f at each of the two values of x given to the right of the function.