Question Detail

MTH 102 Differentiation Objective Question

Question

Find the gradient of the curve \( y = x^2 - 9x + 13 \) at \( x = 6 \).
Options
A 3
Correct Answer
B -5
C 12
D 1
Correct Answer

Option A is the correct answer.

Detailed Explanation

( dy/dx = 2x - 9 ). At ( x=6 ), slope ( m = 2(6) - 9 = 3 ).

Hint

Differentiate the function and substitute the value of \( x \).

Question Info