Solve x^2+x^2/10

$$x ^ { 2 } + \frac { x ^ { 2 } } { 10 }$$

Differentiate w.r.t. x

$$\frac{11x}{5}$$

Steps Using Definition of a Derivative

Combine x^{2} and \frac{x^{2}}{10} to get \frac{11}{10}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11}{10}x^{2})$$

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

$$2\times \frac{11}{10}x^{2-1}$$

Multiply 2 times \frac{11}{10}.

$$\frac{11}{5}x^{2-1}$$

Subtract 1 from 2.

$$\frac{11}{5}x^{1}$$

For any term t, t^{1}=t.

$$\frac{11}{5}x$$

Evaluate

$$\frac{11x^{2}}{10}$$

Solution Steps

Combine x^{2} and \frac{x^{2}}{10} to get \frac{11}{10}x^{2}.

$$\frac{11}{10}x^{2}$$