Solve 1.7*1/5*x^frac{1{5}}=

$$1.7 \times \frac { 1 } { 5 } \cdot x ^ { \frac { 1 } { 5 } } =$$

Differentiate w.r.t. x

$$\frac{17}{250x^{0.8}}$$

Steps Using Definition of a Derivative

Multiply 1.7 and \frac{1}{5} to get \frac{17}{50}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{17}{50}x^{\frac{1}{5}})$$

The derivative of ax^{n} is nax^{n-1}.

$$\frac{1}{5}\times \frac{17}{50}x^{\frac{1}{5}-1}$$

Multiply \frac{1}{5} times \frac{17}{50} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$\frac{17}{250}x^{\frac{1}{5}-1}$$

Subtract 1 from \frac{1}{5}.

$$\frac{17}{250}x^{-\frac{4}{5}}$$

Evaluate

$$\frac{17\sqrt[5]{x}}{50}$$

Solution Steps

Multiply 1.7 and \frac{1}{5} to get \frac{17}{50}.

$$\frac{17}{50}x^{\frac{1}{5}}$$