Solve d/du(8u^0.7-2u^2.6)

$$\frac { d } { d u } ( 8 u ^ { 0.7 } - 2 u ^ { 2.6 } )$$

Evaluate

$$-\frac{26u^{1.6}}{5}+\frac{28}{5u^{0.3}}$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$0.7\times 8u^{0.7-1}+2.6\left(-2\right)u^{2.6-1}$$

Multiply 0.7 times 8.

$$5.6u^{0.7-1}+2.6\left(-2\right)u^{2.6-1}$$

Subtract 1 from 0.7.

$$5.6u^{-0.3}+2.6\left(-2\right)u^{2.6-1}$$

Multiply 2.6 times -2.

$$5.6u^{-0.3}-5.2u^{2.6-1}$$

Subtract 1 from 2.6.

$$5.6u^{-0.3}-5.2u^{1.6}$$

Differentiate w.r.t. u

$$-\frac{208u^{0.6}}{25}-\frac{42}{25u^{1.3}}$$