Find the equation of the curve for which the second derivative is 6. The curve passes through (1, 10) with a slope of 15.

Q: y = 4x° + 4x at (1, 2)

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Q: Find the derivative of the function.

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Q: y = (4x– 1)³

A: Consider the given function: y=4x-13 To find the first derivative with the respect to x:…

Q: Find the derivative of the function y = 8t- y (t) = eTextbook and Media Save for Later

A: Given problem:-

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

A: Given, xy2+x2y5-x3=3

Q: Find the derivative of π^2 .

A: We have to find the derivative of π2

Q: Find the derivative of the function y = x36. y'

A: Derivative of function

Q: compute the derivative. y = 4x−3/2

A: Solution: We have given that the function : y = 4x-3/2 If y = xn be any function then derivative of…

Q: Find the derivative of y=-3/(t-2)4

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Q: Find the derivative of the function. y%3=

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Q: X-3

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Q: Find the derivative of y = ÷+; x2

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Q: Find the derivative of y = x*. .5"

A: Given that: y=x5x

Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: Find the derivative of the function. y = 10'-x²

A: Derivative indicates rate of change. Use the chain rule: ddxf(g(x)=f'(g(x))g'(x) Use the formula:…

Q: Calculate the derivative of the function y=2√x+33√x.

A: Given function is y=2x+33x Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Is the slope of the line tangent to the curve the derivative?

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Q: Find the derivative of y = x2".

A: Find the derivative

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

Q: Find the derivative of the function. 4 y=デ

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Q: Find the derivative, but do not simplify your answer. 2 3 y = (x + x + 4)Vx – 2/x + 7 -

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Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: Find the derivative of the given function.     y=16z2+14z

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Q: Find the derivative. y = (lnx) 2

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Q: Calculate the derivative of y = √(X4 + 1).

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Q: Determine the second derivative of 6 y – xy²= 1 -

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Q: Find the indicated derivative of the following. 1. х? - 4y? %3D5 , у" 3 2. у +у -х* , у"

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Q: Find the derivative of y = 5xe - 5e*

A: Given:

Q: Find the derivative of the function. 4х - 9 y = 6x + 1

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Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: The derivative of the function is equal to

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Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

Q: Find the derivative of the function. y=4xe^4x +4e^x^4

A: Given that y = 4xe4x + 4e x^4. Find derivative of this (dy/dx).

Q: 5x +1 y = 2x

A: Our Aim is to find  the derivative of y=5x+12x-(i)

Q: Find the derivative. 3/2 y%=

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Q: Calculate the derivative of the function y=√x5+√5x.

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Q: Find the second derivative of √x + √y = 25

A: To find the second derivative... √x + √y = 25.

Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: Calculate the second and the third derivative of y = 3x y"

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Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

Q: 3 y = х-5

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Q: Then the derivative of

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Q: Determine the derivative of y =x 이5

A: Here we have to determine the derivative of  y=x65 differentiate with respect to x dydx=ddxx65

Q: Find the derivative of the function y = sech 5x2

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Q: Compute for the derivative of 3 y = х |

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Q: Find the derivative of the following:

A: We have to find derivative of given function where function are given by

Q: The derivative of y = 3 ,5 is

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Q: Find the second derivative of y=x^-2 when x is 2

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