The following is a step in the evaluation of the derivative of a function f(x) at a point x = 1 using First Principles. (3+h)² – 9 lim h→0 h Which one of the following is the function f(x)? Select one alternative: ○ (x + 2)² ○ (x + 3)² ○ 4x² - x

Q: In  the given equation as  follows , use the Product Rule or the Quotient Rule to find the…

A: According to the product rule of differentiation, . The derivative of the expression of the form is…

Q: 250 4. Use second derivative test to determine the relative extrema of the function: f(x) = x2 +

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Q: Use logarithmic differentiation to find the derivative of the function y=(x²+3)² (2x³-5) 27

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Q: Find the derivatives of the following function f(x) from the first principles x4+4

A: Form first principal of derivative, use the limit as given below and find the derivative.

Q: f(x +h) – f(x) lim h f(x) = 3x2 – 10x + 6 1.

A: Given  The function are  1) fx=3x2-10x+6 5) fx=8x    Formula :- f'(x)=limh→0fx+h-fxh .

Q: 2 Find the second order derivative of the following functions y = f(x) and evaluate them at x = 2.…

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Q: Find the derivative of the function f(x), FIRST using the Product Rule & SECOND Quotient Rule.…

A: The Product Rule:The Quotient Rule:The Chain Rule:The Power Rule:

Q: 8) Find the derivative of the function f(x) = (2x-1 x² + 1 if x ≤0 if x>0

A: Step 1:   Step 2: Step 3: Step 4: