pick any 3 numbers. derive and show the complete solution Power. Product, and Quotient Rules WorksheetFind the derivative of each function.1. f(x) = 3x* +5x-22. g(x)=-4x+5x'-2x+34. g(x) = 8VF -7x* +**+7x-18-5x-245. f(x) =-6. f(x) =-*+9x-8*'+7V-4x2+5x8. h(x) =7. f(x)=9. s(x) = 2x"sec(x)10. f(x) = 3x'e11. f(x)=-7x'e12. f(x)= 5x cos(x)13. h(x) = 2e r14. S(x) = 4x -5x' +2x'etan(x)2x+116. g(x) = sin(x)e +515. f(x)=2e18. f(x) =x-2ex'-3x+217. f(x) =x+319. h(x)= 2r'cot(x)3xcsc(x)20. f(x) =-4xe"

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Answered: Find the derivative of each function.…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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1. Determine the -values where relative extrema occur for y = (x ^ 2 + x - 12) ^ 2 . Use the second derivative test, if possible.
Solve the following problem usingpartial derivatives.A certain paper-cutting machine produces varioussizes when increasing the length of a rectangularpaper by 6 cm each second while simultaneouslydecreasing its width by 5 cm each second. At acertain instant, the paper is a square with side oflength 30 cm. What is the rate of change of the areaof the paper at that instant?
Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x, calculate the derivative when x = 5 mm. V'(5) = mm3/mm What does V'(5) mean in this situation? V'(5) represents the rate at which the volume is increasing with respect to the side length as V reaches 15 mm3.V'(5) represents the volume as the side length reaches 5 mm. V'(5) represents the rate at which the volume is increasing as x reaches 15 mm.V'(5) represents the rate at which the side length is increasing with respect to the volume as x reaches 5 mm.V'(5) represents the rate at which the volume is increasing with respect to the side length as x reaches 5 mm.
If the derivative of a function is f'(x)=x(x-5)^2(x-7) then has which of the following relative extrema? A relative maximum at x=0 A relative minimum at x=5 A relative minimum at x=7
Apply your understanding of derivatives to determine any intervals of increase for the function g(x)= 3 + x3
(a) Find the derivative at x = −1. (b) Find the second derivative at x = −1. h(x) = 2x4 + 8x3 + 15x2 + 14x + 4
In the financial world, there are many types of complex instruments called derivatives that derive their value from the value of an underlying asset. Consider the following simple derivative. A stock’s current price is £100 per share. You purchase a derivative whose value to you becomes known a month from now. Specifically, let S be the price of the stock in a month. If S is between £90 and £110, the derivative is worth nothing to you. If S is less than £90, the derivative results in a loss of £100*(90-S) to you. (The factor of 100 is because many derivatives involve 100 shares.) If S is greater than £110, the derivative results in a gain of £100*(S-110) to you. Assume that the distribution of the change in the stock price from now to a month from now is normally distributed with a mean £2 and a standard deviation £10. Let P(big loss) be the probability that you lose at least £1,000 (that is, the price falls below £90), and let P(big gain) be the probability that you gain at least…
Find the derivative of the function. Simplify and express the answer using positive exponents only. y = (x2 − 3)3 x2 + 3 Step 1 Recall the Quotient Rule: If f(x) = u(x) v(x) where u and v are differentiable functions of x, with v(x) ≠ 0, then f '(x) = v(x) · u'(x) − u(x) · v'(x) v(x) 2 . We can apply the Quotient Rule to find the derivative of y = (x2 − 3)3 x2 + 3 if we let u(x) = (x2 − 3)3 and v(x) = x2 + 3. Begin by finding the derivative of v(x). If v(x) = x2 + 3, then v'(x) =
Civen the equation f(x)=3/x What is the derivative of x=3

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