Use a tangent plane to approximate the value of the following function at the point (7.1,−10.1)(7.1,-10.1): f(x,y)=arctan(xy2−699)f(x,y)=arctan(xy2-699) Present you answer accurate to four decimal places.

Q: Differentiate the following functions with respect to x and simplify your as answers as far as…

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Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

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Q: Dat

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Q: Find an equation of the tangent line to f(x) = x² at the point (3,9).

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Q: Find an equation for the tangent to the curve f(x) = at (-1 - 1). %3D

A: An equation for the tangent to the curve f(x)=1x3 at (-1,-1)

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Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: find the the Y = tanx( =

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Q: Q. 3. a) Find first and second derivatives of the following functions: 7x

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Q: Find the 1st Derivative. r=( 2 tan3θ -1)1/3

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Q: What is the amplitude and period of the function f(x)=16cos(6x)?

A: the given function is f(x)=16cos(6x)