Given that L(x)=3+5x is the linear approximation of a mysterious function f(x) around the point x=3, determine the values of f(3) and f′(3)

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Q: Find f′(x) and f′(c). Function f(x) = (x − 4)/(x + 4) Value of c = 3

A: Now differentiating with respect to x, we get

Q: (x) = (3x + 1)²; (0, 1) (a) Find an equation of the tangent line to the graph of the function at the…

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Q: Suppose that f(x)f(x) is a function with f(90)=64 and f′(90)=4 Estimate f(92) f(92) =

A: Use the information on f(x) and f'(x) at x=90 to find the approximate value of f(92) (using…

Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: The derivative of f(x) = In(5x³ – 12) Is

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Q: Find the local extrema points of the function f(x)=(x−a)ex, where a is an arbitrary real number.

A: Consider the function

Q: derivative

A: Please refer to the image below

Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

Q: Find an equation of the line tangent to the curve f(x) = e4x at the point (0, f(0)). x + 1 4x + 1 4e…

A: Put x=0