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3 years ago

Find the derivative of the function. 3 f(x) = 4x + 20x4 f'(x)=

Mathematics

1 answer:

andreev551 [17]3 years ago

7 0

Answer:

f'(x) = 4 + 80x³

General Formulas and Concepts:

Calculus

The definition of a derivative is the slope of the tangent line.

We can take the derivative/distribute it over addition and subtraction.

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define function

f(x) = 4x + 20x⁴

Step 2: Find 1st derivative

Basic Power Rule (1st term): f'(x) = 4 · 1x¹⁻¹ + 20x⁴
Basic Power Rule (2nd term): f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹
Simplify: f'(x) = 4 + 80x³

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Alright, lets get started.

Suppose number of books Jim have = x

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