Differentiate the function. B(y) = cy-2 1 B'(y)

Q: 9. State the Second Derivative Test for functions of two variables z = f(x, y)

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 1. Z= ;d'z/dx² 1+x2 2. Y (3x+2)* ;y" 3.…

A: 1) Given: Z=21+x2 Differentiating Z with respect to x, dZdx=2×ddx1+x2-1       =2×-11+x2-2×ddx1+x2…

Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: Find the 3rd derivative of the function y=ex/x.

A:

Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

A:

Q: Find the derivative of the function. y = esin(5x) + sin(e5x) y' =

A: The solution are next step

Q: Find the derivative of the function. y = 9Vx y' = %3D

A: Our Aim is to find the derivative of y=9x -(i)

Q: 3x-7 y: y%3D arctan 6. 6(x²+3) Find the derivative of the function

A: Given, y=tan-1x6+3x-76x2+3 Differentiating both the sides, we get…

Q: Differentiate the function. y=(4x-4)° (3-x)? dy dx

A: Given query is to find the derivative of the expression.

Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Find the derivative of the function. y = 2e Vx %3D

A: Given y=2e√x

Q: Find the derivative of the function y = x tanh−1(2x)

A:

Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

A:

Q: Find the derivative of the function. y = 2 cos5 x

A: Given, y = 2 cos5 x To evaluate, dydx

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y= ;d'y/dx 2. Y = (7x + 2)S ;y"…

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Q: Calculate the second derivative y : Vx - /y = 1

A:

Q: Find y' and y " by implicit differentiation. 3x3 – 5y3 = 2 y' y": II

A: we have to find y' and y"

Q: Find the differential of the function. y = (5 - v^2) / (5 + v^2)

A:

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

A:

Q: Find the derivative of the function. y = xe¬x/ y' = %3D

A: ddxxe-x7

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

A:

Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: Find the second and third derivative of function. y'=3x^2y^2 = dy/dx

A: Given :dydx=3x2y2

Q: Find the derivative of the function. y = tanh6(9x) %3D y' =

A:

Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: Find the derivative of f(y) = ee&4) (Y) f' (y) =

A: Given:      f(y) = ee^(y^4)

Q: Find the derivative of the function. y = tanh-(6x) V6 1+ 6x y' =

A: derivative of the function..

Q: Find dy/dx by implicity differation.

A:

Q: Find y' and y" by implicit differentiation. 4x3 - 3y3 = 7 y' y" II II

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

Q: Find the derivative of the function.

A:

Q: Calculate the second derivative y : Vx - Vy = 1

A:

Q: Find the derivative of the function. .2 y = (x + 3) coth 7 y' =

A: Given that: y=(x2+3)cothx7

Q: y = x+1 y = sin v1+x?

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: y^2 = x^2 +xy

A: Differentiating both sides of the equation.

Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34 The general rule of differentiation is…

Q: Find the derivative of the function. y = 3x 8 * - 12x - dy dx II

A: Explanation of the answer is as follows

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

A:

Q: Find the derivative of the function. y = etan(8) y' =

A:

Q: Find the derivative of the function. 9 y =- Vx + 1

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5…

A:

Q: Find the derivative of the function. y = 5x 9. 3 - 13x - ヤ dx

A: y=5x3-13x-9x7

Q: Find the derivative of f (y) = 4 sin (y). %3|

A:

Q: Find the derivative of the function. 7. y%3D Vx +2 y'

A:

Q: Find y'' by implicit differentiation. x2 + 4y2 = 4 y'' =

A: The detailed solution is as follows below:

Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5