Derivative Math Example 1

Solution

1. 1
   Apply the power rule to each term: $\frac{d}{dx}[x^n] = nx^{n-1}$.
2. 2
   For $3x^2$: $3 \cdot 2x^{2-1} = 6x$.
3. 3
   For $5x$: $5 \cdot 1x^{1-1} = 5$.
4. 4
   For $-2$: the derivative of a constant is $0$.
5. 5
   Combine: $f'(x) = 6x + 5$.