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# Best Homework Help For Derivatives

## Derivatives Sample Questions:

Question 1: Find .

Answer: Explanation: Apply the power rule.

Question 2: Find .

Answer: Explanation: Apply the power rule.

Question 3: Find .

Answer: Explanation: Apply the power rule.

Question 4: Let . Find Answer: Explanation: Apply the power rule.

Question 5: A tangent line is passing through and . Find the average rate of change at .

Answer: Explanation: Use the first principle of derivative.

Question 6: Let , find .

Answer: Explanation: Apply the quotient rule.

Question 7: Let , find at Answer: Explanation: Use the standard derivative of the trigonometric function.

Question 8: Calculate the average rate of change of on the interval .

Answer: Explanation: Use the average rate of change formula.

Question 9: Check if the following function is differentiable at ? Explanation: Check the LHL, RHL, and the value of the function at .

Question 10: Find , if Answer: Explanation: Use the product rule. 