Consider the differentiable functionf with f(4) =; and f'(4) = If g(x) = f(x²), then gʻ(2) = А. 1 B. : D. None of these

Q: Take a look at the function f defined as f (x) = x³ – 5x² + 7x + 3. Arrange in order, as a compound…

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Q: 9. f(x)=T √√5x²

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Q: Let f (x) = Evaluate the following. Simplify if possible. 9x +7 f (x) – f(a) a) 7 where A = A' for x…

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Q: 2. Given f(x)=x-6, determine whether f'(6) exists.

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: a) y = −8x² + 4x¯¹ − 2 b) f(x)=√√x - √x 5 c) g(x) = x³

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Q: For what numbers 0 is f(0) = csc 0 not defined?

A: To find the numbers θ where fθ=cscθ is not defined. Solution: We know that, cscθ=1sinθ A rational…

Q: For the function f(x) =-X find f"(X), f"(0), f’"(1), and f"(- 1). "(X) = O I7

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Q: In another universe, there are some extra functions that their mathematicians use: stars, sun and…

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Q: The following quadratic function is given: f(t) = 5t²-7t + 25. i) ii) Use first principle to find…

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Q: Let f(x) and g(x) be functions whose graphs are shown below. Which of the following statements…

A: We are asked about the derivative of the function h given a graph of the functions f and g. Note…

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

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Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: consider the product of 3 functions w= f x g x h. Find an expression for the derivative of the…

A: Given functions are f, g , hTheir derivatives are given by f ' , g ' , h '

Q: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

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Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Find the general form of f if f'(x) = 5f(x).

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Q: Solve the following calc 3 problem: Find the derivative of the function at the given point in the…

A: The objective of this problem is to find the derivative of the function f(x, y) = -7x²+4y at the…

Q: Consider the function f(x) 10 x + 2 on the interval 4, 5]. Find the average or mean slope of the %3D…

A: Given that: f(x)=10x+2  on the interval [4, 5]