y = V4x² + 5x

Q: Calculate the derivative.

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

Q: 4 find f'(3). x2 If f(x) =

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Q: 1- sin x Find the derivative of y = 1+ sin x

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Q: If F is a derivative function, obtain the derivative of the function u(x) = (F(x))² in terms of F…

A: given u(x)=4x2-12u(x)=F(x)2to find derivative of u(x)

Q: Но Homework: Find the derivative of the function. x² y = x³ – X. +32x+3 40 y' = D %3D

A: We're going to solve

Q: Find the first derivative x2y + y2-2xy =5                   Use implicit differentiation

A: The given equation is x2y+y2-2xy=5. Assume y is a function of x. By implicit differentiation, find…

Q: Find the 42nd derivative of the function y sin(x). Give reason for choosing yours answer.

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Q: btain the derivative of the function y х- 4х -12 y= х? + 5х + 6

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Q: Using implicit differentiation, for the equation z + y = 9 is,

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Q: 5. Find the derivative of each problem below, do not simplify. tan(2.x) f (x) = x² +2 а. b. f(x) =…

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Q: Find each derivative 4) y = x-* (use logarithmic differentiation)

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Q: Find the derivative of the function y = 9 sec- (x + 5). (Use symbolic notation and fractions where…

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

A: We havey= (2x-x3)(x2 + e-x)

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: To find the derivative of the given function.

Q: q? sin-! メ

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Q: How do you find the derivative of this? Do not simplify the answer.

A: Let's first reduce our functiony=x3x3​+x​​=>y=xx+x​​=>y=xx​+xx​​=>y=1+x​1​=>y=1+x−21​Now…

Q: Find the second derivative, for y = tan () dy2

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Q: The critical points of the function f(x) 36z2 - 2x occur at 2- 0, r +4.00 0, z +2.40 %3D I0, z -…

A: We have to find the critical points of the function f(x)=36x2-2x4.

Q: x²y3 + 3y* = 5x - 4y?

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Q: TASK: The derivative of the function x?y? = x2 + y² is equal to y(1-y²) x(x² -1) TRUE or FALSE?…

A: Let's find.

Q: Make each derivative by any method. Thanks

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Q: show work. ) 12) Find the derivative of function f(x)= In- 1+e* ( answer: 1+e*

A: The derivative of logarithm is expressed as ddx ln x=1x. The quotient rule of differentiation states…

Q: Find az when yz+x In y = 2.

A: Use implicit differentiation

Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…

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