Question Detail

MTH 102 Differentiation Objective Question

Question

What is the slope of the curve \( y = x^4 + x + 1 \) at \( x=1 \)?
Options
A 5
Correct Answer
B 4
C 3
D 1
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y' = 4x^3 + 1 ). At ( x=1 ), ( m = 4(1) + 1 = 5 ).

Hint

The slope is the value of the first derivative at that point.

Question Info