Use logarithmic differentiation to find the derivative of the function. y = (cos 9x)* y' = (cos (9x)*) (−9 tan(9x) + ln(cos(9x))) X

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A: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

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Q: Determine the derivative of the following function with respect to a: 75 +¹rsin (r) 4,

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Q: Use the quotient rule to find the derivative. x² + 8x +3 y= √x OA. dy 2x+8 dx X B. O C. dy dx dy dx…

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Q: 3. ftan5 4x sec³ 4xdx.

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

Q: Find the derivative of the following function. y = -88x²-1 ...

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Q: Use the FOIL method to find the indicated product. (9x - 72) (3x - 7z)

A: By using the FOIL method to find the following product.

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Q: Find formulas for dy and Ay if y = x² - 2x + 1. dy =

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Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: same 3. Graph lines I and k line l: 2x + 4 = 0 line k; 2x + 5y = -15 (+ show at least 3…

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Q: For the function f(x) = 2x³ find the derivative of the inverse function f-¹ at the point x = 345.…

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Q: (a) Find dr and where z is defined implicitly by the equation 5yz + 2x ln(y) = 2².

A: To find  is defined implicitly by the equation .Note: Since the student has posted multiple…

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Q: Write an equation for a line parallel to y - y = 2x 3 and passing through the point (2,0)

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Q: Differentiate. f(x) = In f'(x) = .6 x 100 8

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Q: Find f(x) if y = f(x) satisfies dy dx 108yx¹7 and the y-intercept of the curve y = f(x) is 4. f(x) =

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Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

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Q: Find a particular solution Y of the differential equation 8y" + 2y' + 3y = sin²(x). using the Method…

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Q: purchases a new car for $21,550. He makes a $6000 down payment and finances the remainder thro tized…

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Q: Consider the parallelogram induced by the vectors 71 I= = Q [³] 2 and 2 = [ -x + where x is an…

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Q: Solve the initial value problem. dy Ꮎ +y=8 cos 0,0 >0, y(t) = 1 de

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Q: 1. Let g(x) = ln ((f(x))² + x). Determine g'(5) if f(5) = 2 and f'(5) = 3.

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Q: Calculate the determinant of A= det (A) = Number -20 -4-4-2 4 -6 2 4

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Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

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