Vi skal bestemme den deriverte av funksjonen:

\[ f(x) = 7 \cdot \frac{1}{x} - 3x^5 - 2 \]

### Trinn for trinn:

1. **Deriver første ledd**: 
   \[ 7 \cdot \frac{1}{x} = 7x^{-1} \]
   Derivering av \( 7x^{-1} \) gir:
   \[ \frac{d}{dx} \left( 7x^{-1} \right) = 7 \cdot (-1) \cdot x^{-2} = -7x^{-2} \]

2. **

Learn how to differentiate the function f(x) = 7⋅1/x - 3x^5 - 2 step by step. This solution uses the power rule and explores the derivative of sums. Suitable for high school calculus students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation