Find the given limit by evaluating the derivative of a suitable function at an appropriate point.
A) 21
B) 35
C) 34
D) 16

Question

Find the given limit by evaluating the derivative of a suitable function at an appropriate point. ​  ​
A) 21 
B) 35 
C) 34 
D) 16

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