Which of the following is the derivative of f(x) = Select one alternative: ○ f'(0) = lim 1 h 0 h f'(0) = lim h→0 f'(0) f'(0) = lim = h+1 h 1 h 0 h + 1 h lim h 0 h + 1 x+1 at x = 0?

Q: Let f(1) = 6, f'(1) = 7, g(1) = 4, g'(1) = 5, f(6) = 2, and f'(6) = 5. Calculate the following…

A: Use the chain rule of derivative and put x=1 than simplify using only those values which requires.

Q: 2-45+1 if エ-1

A: Given function is: fx=3x2-4x+1x-1 ; if x≠12  ;  if x=1 Then we get, for x≠1:…

Q: he derivative f’(x) of a function f(x) is given below. F’(x)=x^2+x. Where is this function…

A: Given function, f'(x)=x2+x ⇒f(x)=∫f'(x) dx          =∫(x2+x)dx          =x33+x22+c ⇒f"(x)=2x+1 So…

Q: derivative

A: We will find the derivative.

Q: Calculate the derivative of the function below using the quotient rule. y = Vx + 4x7

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Q: Suppose f(x) =In(2x³- 5x). what is the derivative of f with respect to x? A s'(x)= 2x3 – 5x ® f'(x)…

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Q: se the definition of a derivative to find f '(x) and f"(x). f(x) = 3x² + 6x + 3

A: Given,           fx=3x2+6x+3

Q: 2. Use the definition of derivative to find the derivative for f(x) = x2 + 3x . | f(x +h) – f(x) lim…

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Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = 3x2 + 2x + 2 f'(x) = f"(x) =…

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Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

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Q: Which of the following is the derivative of f(x) Select one alternative: ○ f'(0) 1 h→0 1-h ○ f'(0) =…

A: We need to find out the correct answer.

Q: Use the definition of a derivative to find f (x) and f"(x). f(x) - 3x2 + 9x + 1 f(x) - F"(x) = Graph…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table to compute the following derivatives. a. h'(4)…

A: In loose transaction of composite function u(v(x)), v is known as inside function and u is known as…

Q: Find the derivative of the function f(x) = 3x2- 13x 25 by definition of derivatives f(x + h) - f(x)…

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: how would you, using a limit def. of a derivative at a point find f'(-1) for the function f(x). =…

A: Hint:

Q: Let g(x) = 2 f(u) + 3 where . u = x² + 2x. What is the derivative of g with respect to x? ○ 2. f'…

A: Given that, the function is gx=2·fu+3 and u=x2+2x. By the chain rule formula ddtFut=F'ut·u't.

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = 4x² + 7x + 2 f'(x) f"(x)

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Q: Find the derivative of the function. g'(x) = 7x u² *7x 0 7x 1 g(x) = = - L^~^= = ON [HOME: ["^"Rus…

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Q: Given y = u28 and u = 5– 3x?, find dy/dx. A. = 168x(5 - 3x?)27 D. dx = -28x(5 – 3x²)²7 dx dy В. dx…

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2   (1). Given: y=u28…

Q: Let f(x)=11/x^2 + 1 . Enter anti derivative

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Q: Calculate the derivative using the values: F'(4), where F(x) = x2 f(x)

A: Given: Fx=x2fx

Q: Find the derivative of the function f(x) = V (2² – 2)° 2 at x = 1. f'(1) = Preview

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Q: The first derivative of a continuous function y = f(x) is y' = x(x - 9)². Find y' and then use the…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Differentiate given function at given value

Q: Find the derivative of the function f(x) = 4x2 – 13x – 30 by definition of derivatives f(x + h) –…

A: We have to find the derivative of the given function: fx=4x2-13x-30 by the definition of…

Q: The first derivative of a continuous function y = f(x) is y' = x(x - 30)². Find y' and then use the…

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Q: 8. For the function: 2 f(x) x +3' use the limit definition of the derivative to find f'(x).

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Q: Find the derivative. F'(x) if F(x) = (e×" + 1) °

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Q: 5. (a) Sketch y = , and the tangent line to the graph at I = 1. + + (b) Use the limit definition of…

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Q: Sketch the curve of f(x), a function whose first derivative has the following properties. You must…

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