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pantera1 [17]
3 years ago
15

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:

<u>Calculus</u>

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:

<u>Step 1: Define function</u>

f(x) = 4x + 20x⁴

<u>Step 2: Find 1st derivative</u>

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