Differentiate: f(x) = x 7 (5 + 8x) 3

f '(x) = 24x 7 (5+8x) 2 +7x 6 (5+8x) 3

f '(x) = 3x 7 (5+8x) 2 +7x 6 (5+8x) 3

f '(x) = x 6 (5 + 8x) 3 (35 + 80x)

Chain Rule Practice

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSA.APR.A.1, HSF.IF.A.2, HSA.SSE.A.1

+1

Standards-aligned

Tami Rende

Used 6+ times

FREE Resource

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of f(x) = (x⁶ + 4)⁵

f '(x) = 5x⁵(x⁴ + 4)⁴

f '(x) = 6x⁵(x⁶ + 4)⁴

f '(x) = 30x⁵(x⁶ + 4)⁴

f '(x) = 30x⁶(x⁶ + 4)

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find y' if y = tan(3x²+2).

sec²(3x²+2)

6xsec²(3x²+2)

6xsec²x(3x²+2)

sec²(6x)

What is f'(x) if f(x) = cos(5x⁴)?

f'(x) = sin(20x³)

f'(x) = 20x³ sin(5x⁴)

f'(x) = -sin(20x³)

f'(x) = -20x³ sin(5x⁴)

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Differentiate:
f(x) = x⁷ (5 + 8x)³

f '(x) = 168x⁶(5+8x)²

f '(x) = 24x⁷(5+8x)²+7x⁶(5+8x)³

f '(x) = 3x⁷(5+8x)²+7x⁶(5+8x)³

f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

find y' for y=e^5x+ 1

5e^5x+1

e^5x

5e^5x

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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