Find the derivative of the function f(x,y) = tan at the point (3, - 3) in the direction in which the function decreases most rapidly. O A. 6. V2 OB. V3 OC. 6. V3 OD. 9

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A: the given equation is

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A: according to the problem, we have

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A: Here given

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A: y=x7ex To find y'

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A:

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A: We will use Lebnitz rule to differentiate the function .

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A: f(x)  =  cos x4 + a4ddx f(x) = f'(x) =…

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A: Explanation of the answer is as follows

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A: Given y=2e√x

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A:

Q: 2. Find the derivative of the function f(x, y) = 2x² – y² at the point M = (1,1) in the direction…

A:

Q: compute the derivative.  h(y) = y tanh(4y)

A: The derivative will be computed using the product rule of differentiation (fg)'=f'g+fg'. Also the…

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A: To find the derivative of  y=(tan-1(x))23

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A:

Q: Please find the derivative of the function.

A: It is given that

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A:

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A: Given: y=ex+2ex=3ex we know that ddxkex=kex

Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

A:

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A:

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A:

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A:

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A: We have to find the derivative of the function fx,y=2x2-y2 at the point M=1,1 in the direction…

Q: Find the derivative of the following functions. (Ans Find /dx If y r+3x-7 and r 2t +1

A: Given,  y = x2+3x-7    and  x = 2t+1 We have to find dydx

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A: ddxex+2

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A: Given function is f(x,y) =  x2y3 - 3xy3 we have to find fxyy at the point (2,1).

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A: chain rule.

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A:

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A:

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A:

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A:

Q: Find the derivative of the function. y = (x² + 4) coth ) y' = %3D

A: Here we must know : 1) ddxf.g=f . dgdx+ g. dfdx2) ddxxn = n.xn-13)  ddxf(g(x))= df(g(x))dx. dgdx

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A: The given function,y=x2+3cothx3

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A: We have to find the derivative of the function  y = 13 arctanx.

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A:

Q: et y = (xº + 4)*. + 4)*. se the General Power Rule to find the derivative.

A:

Q: Determine the derivative of the following functions. 1. y = 9x cos(2x + 3) 2. y = cos(x + y)

A: According to the question, we need to calculate the derivative of the given function.    Function 1:…

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A:

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A:

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A:

Q: Find the derivative of Yfind the equation + e* cos 2x I = 8 Use the of the line tangent to the curve…

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A: To find the derivative of the given function.

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A:

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A:

Q: Find the derivative of y = f(x) = x cos(x).

A: y =f(x) = x cos xf'(x)=ddx (x cos x)

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A:

Q: Find the derivative of the function f(x, y) = x²y – 4y3 at the point Po(2, 1) in the direction of v…

A: The given function is:  f(x,y) = x2y - 4y3

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