Problem 2. Let f(x) be any differentiable function. Prove the below formula, using a substitution. [² dx = ln f(x)| + c. ƒ'(x) f(x) Problem 3. Consider the integral x + 6 4x³7x²15x Solve it by writing the integrand (this means the function that is being integrated) in the form B A X + X 3 dx. + C 4x + 5*

Q: The derivative of the function f is defined by f'(x)=x²-3 sin (x - 5). What is the x-coordinate of…

A: Solution:

Q: Find f'(x). f(x) = (1 – 7x)10

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Q: Use the rules of differentiation to find the derivative of the function. f(t) = 7t² - 9t-3 f'(t) =…

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Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: find the derivative, show all work please. f(x)=square root(4x2-2x+3)

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Q: 7. Find the equation of the tangent line at the unique inflection point of f(x) = x³9x² +26x - 32.…

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Q: 8 Find the derivative of: 2/x + x3 Type your answer without fractional or negative exponents. Use…

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Q: fOo)=Sinx-41 Cos x 1X-1 cos X (x)

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Q: Let f(x)=x^4-6x^2+10 solve the following    1. Fine the equation of the tangent line when x=1  2.…

A: Please refer to the image below

Q: The folowing is a reworded question from very last night . A printed solution of  a length of curve…

A: To find the correct integrand to evaluate the length

Q: Use the function k(x)=x^6 and the value x=2 to answer the questions that follow. a)  Find the…

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Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the second derivative of the function. f(x) = 9(5-2x)4 f"(x) = Submit Answer

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Q: f(x) %3 3x? (х — 1) For problems 3 and 4, use 3. Use the product rule to find f '(x)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 9. Take the derivative of the following function and simplify/factor: h(0)= 40² - sin 30

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Q: For each problem, find the function f based on the information given. 13. f'(x)=√x(6+5x) 14.…

A: 13) Given:  f'(x) = x6+5x ⇒f'(x) = 6x12+5x32 Integrate both sides with respect to x we get