ball is draped from feet after t seconds 6. ht fect 500 ts heighe by h(t)s00-1 ज in lven (b) Use the limit definition of the derivative to find the instantaneous velocity v(2) of the ball after 2 seconds. Include the proper units in your solution. Finding the derivative using anything other than the limit definition will earn zero credit.

Q: Use the fact that e4x = (ex)4 to find d/dx(e4x). Simplify the derivative as much as possible.

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Q: 2х-9 F(x)% = %3D 4х

A: We have to find the definition of the derivative to find f(x). By the definition of the derivative,…

Q: 1 (t² +3t+1)/2 19½/2 f) f(x) = -

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Q: -. Let f(x) = 3x²(x − 1)². minimum or neither. Als

A: The given function is ; f(x)=3x2(x-1) 7.

Q: Let f (x) = x3 – 5x + 2, Use Derivative Rules to find the following: a) Find the equation of the…

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Q: Calculate the second and third derivatives. y = 7x² - 7x² + 9x

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Q: The equation that describes the volume of the conical shape RELATES the quantities : volume, radius…

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Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: 3) y=(7x² – 2x + 3)

A: Derivative,

Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

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Q: 2v f(v) = 2 - %3D 3

A: f(v) = 2 - 2v/3 We know that if, f(v) = vn Then, f'(v) = nvn-1

Q: r (4x2 – 3x + 5)* - 3.) c(x) = %3D sin x

A: solution:- find the derivative by using the quotient rule

Q: Find the second derivative of y² + 2x³ = 1 – 4y

A: The given equation is y2+2x3=1-4y Rewrite as  y2+2x3+4y=1 differentiate…

Q: Match the graph of the function with the graph of its derivative.

A: Assume that y = 0 at x1 and x2 in the given graph. From the given graph, it can be concluded that…

Q: 2) y=5x² -9x³

A: Using derivative of power function & subtraction rule of derivative.

Q: a. y = x* -+ 2x* -+3*+ b./(x) %3D푸-+. c. g(x) = 4 -+-4 b. f(x) = 6x + 10 4x

A: Formula: Derivative of xn = nxn-1

Q: y=C1e³x + C2e¯ 2x + x

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Q: - H Rx² b. f(x)=- c. f(x) = Mx4 + Nx² + Px + Q

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