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blondinia [14]
3 years ago
15

Find d/dx(e^3ln(x)). a. e^3lnx b.e^3ln(x)/x c.3e^3lnx d.3x^2

Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

D. 3x²

General Formulas and Concepts:

<u>Algebra II</u>

  • If you raise e to the natural log, they cancel out and vice versa

<u>Calculus</u>

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />f(x)=e^{3lnx}<u />

<u />

<u>Step 2: Rewrite</u>

<u />f(x) = x^3<u />

<u />

<u>Step 3: Take Derivative</u>

  1. Basic Power Rule:                    f'(x) = 3x³⁻¹
  2. Simplify:                                    f'(x) = 3x²
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