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Find the derivative of the function. F(x) = x – 5x V x √x (a) Simplify...
Find f'(x) f(x) = x х Consider the function f(x) = 5x + x Bx a. Find f'(x) b. Find the x-values where the tangent line is horizontal Use the product rule to differentiate. Do Not Simplify y = (7x4 - x + 2)(x5 + 4)
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2 Find the derivative of...
1. (-/1 Points] DETAILS BERRAPCALCBR7 2.4.005. Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = x (x + 1) F"(x) = Submit Answer 2. [-/1 Points] DETAILS BERRAPCALCBR7 2.4.017. Find the derivative of the function by using the Product Rule. Simplify your answer. F(X) = (7x + 4)(1 = x) f'(x) = 3. [-/1 Points) DETAILS BERRAPCALCBR7 2.4.035. Find the derivative of the function by using the Quotient Rule. Simplify your answer. f(x)...
For the function f(x)= 5x-1 , Use the limit definition of the derivative to find f (2) Note: You should first use find the derivation of the function; then replace x by 2 in the final answer.
For the function f(x)=−3−5x^3 find the derivative of the inverse function f-1 at the point x=37. (f−1)'(37)=
Consider the function f(x)-5x -x-3 and complete parts (a) through (d) (a) Find fix + h) (b) Find fkth) fs) (c) Use the above answer and the limit definition of the derivative to find the derivative of the function f (d) Find the value of the derivative of f when x-1 (a) fx+h)- Simplify your answer. Do not factor) fx+ h) fx) Simplify your answer Do not factor.) c) f(x) E (d) The derviative f(1) elfo Simplify your answer)
The derivative of the polynomial function f(x) = c·xn is given by f'(x) = n·c·xn-1. I. ClearPic manufactures LCD screens. Its managers believe that it's cost structure is described well by the function TC(x) = 50 + 3x2, where x is the number of screens produced. a. Compute the difference quotient: TC(x+h)-TC(x)/h Simplify it as much as possible.b. Suppose that ClearPic is currently producing 20 screens and its CEO asks you how much it will cost per screen (average rate) to increase...
Find the difference quotient and simplify your answer. f(x) = 4x3 - 5x f(x+h) - f(x)/h h does not equal to 0
1120 Page 1 of 1. Find the derivative of the function y = + + x2 using (a) the quotient rule (b) the product rule (without using the quotient rule) (c) the power rule (without using the product rule or quotient rule) For cach, clearly show and/or explain how to use the respective rule to find the derivative. (d) Which method, (a), (b), or (e), do you think is best for finding this derivative? Why?
5x + 1 Use the definition of the derivative to find the derivative of the function f(x) = *-*2. Then find all x-values (if any) where the tangent line is horizontal. If the tangent line is horizontal for all X, write R for your answer. If the tangent line is never horizontal, write None for your answer Answer 3 Points Keypad 11 1'(x) = 2 Tangent is horizontal at x = Prev Nex If f(3) = -1, f(3) = 17,...