Calculate the second and the third derivative of y = 4x 4 y": y" =

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: z (y/)° = y

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Q: Find the derivative of the function y = 2x sinh−1(2x) − √(1 + 4x2)

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Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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Q: Calculate the derivative of y = cos(x 3).

A: Given y=cos(x3) we need to find the derivative of y.

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Calculate the derivative indicated.

A: Given: s=4z-16z2  ……1   To find: dsdzz=2

Q: In y=e³ sinx

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Q: Find the nth order derivative of the function y=sin2x.

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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: y = = Vsin va

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Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: calculate the derivative

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Q: Find the derivative of the function. rlx) = [in[x*}}°

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Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Find the derivative y = cosh(2x)

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

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Q: Determine the derivative of y=(x−1)4 without using the power rule.

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

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Q: Determine the derivative of y. アミeV10x+5

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Q: Determine the derivative of у. /20x+6 y = ev y =

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Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: Find the derivative of y given that y= x In x et

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

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

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Q: find the derivative of y with respect to x. y= ln3x

A: We can solve the given problem using chain rule derivative.

Q: Calculate the derivative indicated. lx=2, y = 8x-3 + 8x? dx2

A: We have to calculate d2ydx2 at x=2 for the given function: y=8x-3+8x2 We know the formula of…

Q: Calculate up to 5th derivative the equation y = 2e¬4x

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Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: What is the derivative of y = ekx?

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Q: Determine the derivative of y. y = eV14x+6 %3D

A: Please refer the attached image for complete solution.

Q: Calculate the third derivative of the function y%-xe-",

A: To find the third order derivative we use product rule of derivative formula. From the product rule…

Q: Find the value of the derivative of the function y=sinx/3 at x=2π.

A: Here given as Differentiate the above function with respect to x

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: Which is the first derivative of y=vx ?

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Q: calculate the first four derivatives of xe^(-x)

A: Here, we use product rule of differentiation which states that (uv)'=uv'+u'v, to get the derivative.

Q: Find the second derivative of the equation below evaluated at y = 1:

A: Given that: The implicit equation 4 e y + x y = 4e.

Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.

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Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: find the derivative of y with respect to the givenindependent variable. y = 2x

A: y=2x

Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

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Q: What is the 2nd derivative of y=cosh(x+y)?

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Q: Find the 1st and 2nd derivative of: Vx + Jy = va

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Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: Determine the derivative of y. y = ev12x+8 %D

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Q: Calculate the second and the third derivative of y

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Q: Which is the first derivative of y=vx ? *

A: Given Data: y=x Formula: d(xn)dx=nxn-1