Let h(x) = f(x) · g(x). If f(x) = 2 – 4x², g(3) = 8, and g'(3) = 6, find h'(3). %3D %3D Provide your answer below: h'(3) D

Q: For the function f(x) = 7x – 3x+ 4, find f'"(x). Then find f"(0) and f''(6). f"(x) =(Simplify your…

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Consider the function f(x) = x² + 4x - 5. (a) Find the points, if any, at which the graph of each…

A: we are given a function. f(x)=x2+4x-5

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: Q.4 Find a function f(t) such that = t2 + sin t and such that y(0)=0 d'y dt2 and y(0)=-1

A: Topic :- Differential equation

Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

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Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: Find d2y/dx2 for the equation x=x3y2-3y3

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Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: Given f(x) = 2x + 1 and g(x)= Vx- 3 + 2, write equations for the following functions. %3D С. g'(f(x)…

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Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

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Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

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Q: IF f(x) = 13sin(x)-8e*. Calculate: df(x) dx =

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Q: Find f. f ″(x) = 8x3 + 5,    f(1) = 5,    f ′(1) = 4

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Q: Consider the function. f(x) = x3 − 6x2 + 4 a. Find  f '(x). b. Find f ''(x). c. Find f ''(−6) and f…

A: We know that  d(xn)dx=nxn-1

Q: (2/x)(1/2y) = 1/100 and x = 5 . What is the value of y?

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Q: If g(x) = f(x) + h(x); find g'(x).

A: Topic = Derivative