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4 active · Fall 2026
F26171
MATH 171
Calculus I
Roster
25
To grade
12
F26121
MATH 121
College Algebra
Roster
25
To grade
0
F26220
STAT 220
Intro to Statistics
Roster
38
To grade
9
S26251
MATH 251
Linear Algebra
Roster
19
To grade
6
Q4 · Chain Rule · 8 of 25 ← prev · next →

Differentiate f(x) = sin(3x² + 1) with respect to x.

ANON · S-08

Let u = 3x² + 1. Then f(x) = sin(u).

By the chain rule: f′(x) = cos(u) · u′.

We have u′ = 6x, so

f′(x) = 6x · cos(3x² + 1).

Rubric · /10
Identifies chain rule +3
Correct u-sub +2
Computes u′ +2
Final form correct +3
− Missing notation −0
Total10 / 10
∫ assist
Response matches reference solution. 6 prior students received +10 on Q4 with similar derivation.
MATH 171 · Midterm I · n = 24

How the class did.

Released Oct 22
Median
82
σ 11.3 · IQR 14
Turnaround
1.4d
−68% vs. last term
Regrade rate
3%
2 open · 1 resolved
Score distribution 10-pt bins · 0 → 100
020406080100
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Recording your comment…
"f prime of x equals six x times cosine of three x squared"
f(x) = 6x · cos(3x2)
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∫-assist · drafting
Strong derivation. Note the chain rule on line 3.
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