Find the derivative of the function. y = sin (7) + √sin (6 x) y'(x) =

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Q: Consider the function f(x) = 3 on the interval [3, 7]. (A) Find the average or mean slope of the…

A: Solution ) a) mean slope = (f(b) - f(a)) / (b - a ) = (f(7) - f (3)) / ( 7 - 3 ) = { 1/7 - 1/3 ) / 4…

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A: We will find the required.

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Q: we can write the given function as: x(t) = 3 + 4 cos (20nt + ) 2 sin (60nt -)-4 cos (70nt – π) As we…

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Q: y = 14. If u +4 u-4 and U= √x + x 10 dy , find dx when x=4.

A: This question can be solved using the concept of derivatives.

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Q: Question 2 Find the second derivative of the function f(x) = x² - 3x and choose the correct answer.…

A: To find the second derivative of the given function.

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Q: Find the critical number for y = f(x) = x (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative…

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A: Two sides and an angle are given below. To determine whether the given information results in one…

Q: Find the derivative of the function by the limit process. g(t) = ³ + St g'(t)=3t+5 Submit Answer

A: given       g(t) = t3+5t Derivative of the given function follow this formula   d/dx (xn) = nxn-1…

Q: them, it exists. 7x² + x 4x² + 6x² + x Ilm

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Q: Given f''(x) = = Find 76 10 - - 36 sin(6x) and f'(0) = 2 and ƒ(0) = − 6.

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Q: Use the Ratio Test to determine if the series converges. M8 k=1 %*x Select the correct choice below…

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Q: Evaluate the definite integral and choose the correct answer. dx 1+5x 0 1 O -In 11+ 5xl + C 5 1 1+5r…

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A: Topic- Application of Derivatives

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Q: B- Let r(t) = (²+2) i + (3t) j .Find (t) such that r(t) parallel to r'(t).

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Q: Consider the following piecewise function ƒ : R → R 3.2³ 7.x 8x²730 f(x) = Indicate which of the…

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Q: y = 1/√x; y(iv)

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A: How to find absolute minima of function f(x) in a given closed interval: find the critical points…