Answers | 2026 Update
, Qụestion 1
Find the derivative of:
3
h(x) = x 3 + 3x + 4 .
x + 35x − 2 4 3 2
6x + 18x + 6x + 6x + 18x + 6
h ' (x) =
2
(
x3 + 3x − 2 )
3 2
h ' (x) = 18x + 6x + 18x + 6
2
(
x3 + 3x − 2 )
h ' (x) = −18x2 − 18
(x3 + 3x − 2)2
h ' (x) = 6x2 + 6
(x3 + 3x − 2)2
Qụestion 2
Find the derivative.
f (x) = 2πx2
f ′ (x) = 4πx
f ′ (x) = 2πx
f ′ (x) = 4πx2
f ′ (x) = 3.14
Qụestion 3
Sụppose f (x) = −x −1. What is the slope of the line tangent to f at x = 3? 1
−1
0
1
9