2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

Q: Dein 96 (2) Calculate the derivative f'(x) of the following function a) f(x) & S 1-x (6) f(x) =…

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Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

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Q: Let f(x) be a one-to-one function such that f(2)=5 and f'(2)=-4.  Find f(-1)'(5)

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Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: "(x). "'(x). "(-9) and f"(7). = f(x) = x³ 3x² +7 mine whether the function f(x) is concave up or…

A: Topic:- derivatives and application of derivatives     Definition:- When the second derivative is…

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

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Q: Differentiate the function. f(x) = √√In x f'(x) =

A: Given

Q: x2 Find f'(x) if f(x) = 5x – 3

A: As we know that: The Quotient rule: fg'=f'·g-g'·fg2 The Power rule: ddx(xn)=nxn-1 Given: f(x)=x25x-3

Q: Let f(x) = -V5. Find f'(x).

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Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

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Q: Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each function h given…

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Q: 3. Use the graph of f '(x) to sketch the graph of f(x). Sketch f(x) on the coordinate plane below…

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Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: 2 7. Evaluate f' (-1) for f(x) =- x X3

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Q: True or false: If f is a differentiable function, then de [f(x³)] = f'(3x²) dx

A: The objective of the question is to verify the given statement about the derivative of a function…

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

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Q: Let f(x) = x g| where g(x) is a function. 2 Which is the correct expression for f'(2x) ?

A: Given function f(x) - f(x) = x gx2To find out f'(2x), we first differentiate f(x) with respect to x,…

Q: Find the concave up and down intervals of the function f''(x)= 6/(x-1)3. Then identify any points of…

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