#1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6 b. g(t) = cos? 3t %3D

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Q: (a) Find dy – Ay, if y = 6 – 7x (b) Find the derivative of f(x) = 2(cos4x - sin4x) Solution.

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A: Solution is given below:

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: Solve for the following implicit derivative: d²y si sen(y) = ycos(2x) dx?

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

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Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

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Q: 3. b. 13 15 flx)-7 12 37 25 31 42 57 Find First & Second derivative at 2=3.

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Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

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Q: (b) Use your answer from part (a) to evaluate the derivative. (ӕ — 5)30 In d dx V (2а — 7)34 -

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Q: 13. Find the derivative of the following functions and simplify the answer: 6x+ VE (a) 7x2 – 1 e…

A: As we know that the derivatives of:-  the Quotient Rule:  fg'=f '·g-g'·fg2 Apply the Sum/Difference…

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Q: 1) For #31-34, evaluate each derivative. d 3 dx ' sec /a* dx d. | ytan tdt dx

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Q: 2=1.4. (d) Use the second derivative mid-point formula to find the most accurate value for at

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Q: 1 y 4 18) Find the first derivative of y = -sin? x

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Q: Q2) Find the derivative of the function at Po in the directi g(x, y) = x – (y²/x) + V3 sec-' (2xy),…

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Q: Find the first derivative of y=tan? (3x²-4). A) x tan (3x²-4) B 12x tan(3x2-4) sec²(3x²-4) (c) sec?…

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Q: ed at (2,1) is Assuming that y is defined implicitly by the equation ²-2-58, the derivative

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Q: H.W Ex.(8) Show that the functions f(x) = sin' () and ga)=2 tanv メ+) have the Same derivative.

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Q: d (2a*e" + 4a*) dx Calculate the derivative:

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