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

f '(x) = x 6 (5 + 8x) 2 (35 + 80x)

f '(x) = x 2 (5 + 8x) 6 (35 + 80x)

f '(x) = 8x 7 (5 + 8x) 2 (35 + 80x)

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

Chain Rule

12th Grade

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10 Qs

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12th Grade

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Practice Problem

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Medium

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CCSS

HSA.APR.C.5, HSF-IF.C.7D

Standards-aligned

Luci-Anne Jones

Used 305+ times

FREE Resource

10 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 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)⁴

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Find the derivative of f(x)=(x³-2x)²

6x⁵ - 12x³+8x

6x⁵ - 16x³+8x

x⁶-4x⁴+4x²

6x⁵ - 16x^3-8x

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

find y' for y= (2x+1)¹⁰

10(2x+1)⁹

20(2x-1)⁹

20(2x+1)¹⁰

20(2x+1)⁹

Differentiate:
f(x) = x⁷ (5 + 8x)³

f '(x) = x² (5 + 8x)⁶ (35 + 80x)

f '(x) = x⁶ (5 + 8x)² (35 + 80x)

f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)

f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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