Find the first and second derivative of y = e^−2x(cos3x+sin3x)

Q: Find the 24th derivative of y = -sinx

A: Topic = Derivative    The 24th derivative isy24 =-sinx

Q: Compute the derivative of the function y=arcsin1√x at x=2.

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

A: Given, exy=siny2

Q: What is the derivative of (3x^2tanh(sin4x))

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Q: Find the second derivative of y=(tan(2pix))^3

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

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Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Compute the derivative. (x) = ex sinx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: Find the derative: yain Jx2+4x+1 derivative.

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Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

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Q: Find the equilibria of the differential eq

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Q: In y=e³ sinx

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Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: Find the first four derivative  if  y= cosx

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Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

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 y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Find the first derivative y= etanx

A: We have to find first derivative of    y=etanx   First derivative is dydx

Q: what is the first derivative of arccos4x

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Q: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

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

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Q: 222nd derivative of y = sin5x

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Q: Find the derivative of xn by first principle or ab-initio method.

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Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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

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Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this…

Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: what is the first derivative of cosx^2(x^2+2)

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Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

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Q: Calculate the derivative of y = e1+sinx.

A: Given, y = e1+sinx.

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

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

A: Please refer the attached image for complete solution.

Q: 1. y= ArctanB %3D 3-V9-x2

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Q: Compute the derivative ln(ex+1) / 2x+1

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Q: find the derivative of y=sin2(3x).

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Q: Find the 1st derivative of y= Arcsin x -v -V1-x²

A: To find the first derivative of y = sin-1x - 1-x2 sin y =x - 1-x2

Q: calculate the derivative y = cosh−1(3x)

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Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: second order derivative of (5 sin 3x+cos^2 (3x )) is *

A: The function: y=5 sin3x+cos23x

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

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Q: 5-cos x 3) f(x) = 5+sinx foo

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Q: Solve the first and second derivative of y = cosh2x+ sinhx

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