Find the given limit by evaluating the derivative of a suitable function at an appropriate point.

Name: Find the given limit by evaluating the derivative of a suitable function at an appropriate point.
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Question

Find the given limit by evaluating the derivative of a suitable function at an appropriate point. ​  ​

Quizplus · Accepted Answer

Let's consider the function f(x) = x^2 + 7x - 10. 
The derivative of f(x) is f'(x) = 2x + 7. 
Setting x = 4 in f'(x), we get f'(4) = 2(4) + 7 = 15. 
Therefore, the limit as x approaches 4 of the given expression is equal to f'(4) = 15, which corresponds to choice B.

Find the Given Limit by Evaluating the Derivative of a Suitable