Calculus Examples

$\frac{d}{d u} (6 u^{0.7} - 5 u^{2.9})$

Step 1

This derivative could not be completed using the chain rule. Mathway will use another method.

Step 2

By the Sum Rule, the derivative of $6 u^{0.7} - 5 u^{2.9}$ with respect to $d$ is $\frac{d}{d \cdot d} [6 u^{0.7}] + \frac{d}{d \cdot d} [- 5 u^{2.9}]$ .

$\frac{d}{d \cdot d} [6 u^{0.7}] + \frac{d}{d \cdot d} [- 5 u^{2.9}]$

Step 3

Since $6 u^{0.7}$ is constant with respect to $d$ , the derivative of $6 u^{0.7}$ with respect to $d$ is $0$ .

$0 + \frac{d}{d \cdot d} [- 5 u^{2.9}]$

Step 4

Since $- 5 u^{2.9}$ is constant with respect to $d$ , the derivative of $- 5 u^{2.9}$ with respect to $d$ is $0$ .

$0 + 0$

Step 5

Add $0$ and $0$ .

$0$