Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which the function decreases most rapidly.

Q: i. y= ) In (x+3

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Q: Find the derivative of the function. y = (tan-(3x))2 y' =

A: Solution: The objective is to find the derivative of the given function

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: Calculate the derivative at the point (0,0) of the function given by the equation x5+y5−2x+2y=0.

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Q: Find the derivative of the function.

A: To Find the derivative of the function. y = ln sec x + tan x

Q: Find the derivative of the function y = sech−1 (sin x), 0 < x <   /2

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Q: Find the derivative of the function. 12) y = 2 secó x

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Q: Use the chain rule to find the derivative of the function z = x2y3 − x along the curve given by x =…

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Q: Calculate the derivative with respect to x of the other variable appearing in the equation.…

A: Given, xy2+x2y5-x3=3

Q: Find the derivative of the function f(x,y) = x +xy + y at the point (- 2,- 1) in the direction in…

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Q: Find the derivative of the function f(x.y) = tan -1y at the point (- 9,9) in the direction in which…

A: To find the derivative of a function at a point (-9, 9) in the direction in which the function…

Q: Find the derivative of the function f (x) = sin°(x) (),

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Q: (x-y) atfy (1, 1) a+y

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Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: Find the derivative of y with respect to x. y = sec -1 (3x2 + 1), X>0

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Q: Find the derivative of the function 3 tan (x- 2 1 x y

A: Given:

Q: Find the derivative of the function f(x,y)=x2+xy+y2   at the point (-5,-4)in the direction in which…

A: Find the derivative of the function f(x,y)=x2+xy+y2   at the point (-5,-4)in the direction in which…

Q: Calculate the derivative at the point (1,1) of the function given by the equation x−y=ln(xy) where…

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Q: Find the derivative of 3 In xy + sin y = x².

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Q: Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5…

A: The second derivative of the function, y and tangent to the graph of y is given as,

Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

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Q: cosx y =-

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Q: Find the derivative of the function. y = (( 1- cos 2x ) /( 1+ cos 2x ))4

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Q: Find the derivative of the function. y = 3 tan(x - V1 + x 1 + x2 y' = ||

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Q: Find the derivative of the function. 8 +- +/5 y= 4. dx %3D

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Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

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Q: Find the derivative of the function f(x.y) = tan -1 y at the point (4, - 4) in the direction in…

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Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: Find the derivative of the function. y = sin(tan 3x) y' = II

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Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: Find the derivative of f (y) In(y)

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Q: Find the second derivative of the function.

A: Given,         f(θ)=3tanθ

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

Q: (a) h(x) = tan(r'sinx

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Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

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Q: Find the derivative of the function. y = (tan-(4x))2 y' =

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Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: 5. f(x)%3D + cos X

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Q: What is the first-order derivative of y = x^y?

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Q: Find the derivative of the function. y = -5e- - 4x2 dy dx

A: Solve for the derivative

Q: The tangent line to f(x) = x² at x = –3.

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Q: Find the derivative of the function. y =sin(tan 2x )

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Q: Find the derivative of the function. y = sin (x + 2)

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Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM х 1. y= Arctan- 3-V9-x²

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the derivative of the function - (tan(æ)). Y = y'

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Q: Find the derivative using the definition 1- y = vx -1

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Q: 2.) y = tan¬1 – 6•x³ y' =

A: We have to find the derivative of the function: y=tan-1-6·x3 We know the formula of derivatives,…

Q: Find the derivative of the function. y = x sin 1/x

A: Given: y=xsin1x We know that ddxu.v=vdudx+udvdx                                                  ..1

Q: Find the derivative of the function. y = tan VX- X- 3 y' =

A: Given function is: y=tan-1x-3