Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9.

Q: find the derivative of the function  f(x) = e5x sec x

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Q: Find the 2nd derivative of y with respect to x : y=xe^2x

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Q: * Find the fourth derivative 1 y=x²- HJXJ

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Q: Find the derivative of the function. y = ln(2 − e5x)

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Q: Find the first derivative of y = e3x. 3e3x

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Q: Find the derivative of y = 6x°e* + 3x° y' =

A: Given data is : y=6x3ex+3x5 To find the value of derivative y' Formula of differentiation…

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 given function y - x2-1     f'(2)

A: Given function is y=x2-1. To find the derivative of the function f'2. Solution: Power rule of…

Q: x + x dx x2

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Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: What is the derivative of y e2x –1

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Q: Find the derivative of the function y = ln(9 – e-ª).

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Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

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: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the derivative. y = (ln x)2

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Q: Find the second derivative of the function y=x√1−x2.

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Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the third derivative of the function given by the equation x2+3xy+y2=1.

A: Given the equation of a function:

Q: Find the first derivative of: x = t²e2t

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Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: 2 у + y 2xy=X+Y!

A: Given  equation y2+2xy=x+y

Q: Find the second derivative of the function y=4√x+1.

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Q: Find the derivative of the function. y = 2e* +x2

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Q: Find the derivative of the function y=1x+1√x+13√x.

A: Given:  y=x+x+13xDifferentiation formula:ddxxn=n.xn-1ddxx=1ddxc=0

Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: 1. Find the first derivative of y: y=x-6x³+2x²

A: Topic = Derivative As per guidelines , At  a time only one question can be answered. please repost…

Q: find the first derivative of   F(x) = e(x+5)

A: Given,

Q: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

Q: Find the second derivative of the function f(x) = sin x2

A: Given f(x) = sin x2 To find d2f(x)dx2

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

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 second derivative of the function y = x In 2x.

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Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: Find the derivative of the function. y = ln(x√x2 − 1 )

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Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

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Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Find the derivative of the function. y = x2e−x

A: Giveny=x2e−x

Q: Find the derivative of the function y = x2x+1

A: We have to find derivative of the function: y=x2x+1  In this situation we use logarithmic property…

Q: (b). Find the second derivative. y=x²-5vx

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Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

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Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

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Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: Find the second derivative of the function. y = 1/(5x + 1)

A: we have to find the second derivative of y=1(5x+1)=(5x+1)-1

Q: Find the derivative of the function. f(x) = e-4x

A: The given function is:fx=e-4x

Q: Can you help me find the fourth derivative of y=1/√x?

A: We have to find

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

A: Given that: y=4(x+1)5