The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0 f(x+h)-f(x) h Use the definition of the derivative to find the derivative of f(x) = 6x² +8x+2. Enter the fully simplified expression for f (x +h)-f(x). Do not factor. Make sure there is a space between variables.

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: Use definition to compute the derivative of f(x)= V3x+1. You may not use any calculus formulas.

A: Use first principle.

Q: Calculate the first first derivative justifies whether this is differentiable or not. Calculate the…

A: ∴ f(x) = 2x2ex is differentiable

Q: Using the limit definition, find the derivative of f(x) = tan(ax + b).

A: Consider f(x) = tan (ax + b)

Q: Find the derivative using the formal definition f (x) = 3x2- 4x – 2

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Q: Use the limit DEFINITION OF A DERIVATIVE to find the derivative of the function. 16) f(x) = Vx + 5…

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=x+5.

Q: what is the derivative of the function below / find it:   f(x) = (-3x2 +3x2 +3x -4) (x2 +2x +1

A: Differentiating equation with respect to x  Let,Using power rule of differentiation

Q: Identify the original function f(x) and what value of c to evaluate f'(c). (3x-9x²)+(42) x+2 lim…

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