Solve 7/3x^2+2x^2

$$\frac{ 7 }{ 3 } { x }^{ 2 } +2 { x }^{ 2 }$$

Differentiate w.r.t. x

$$\frac{26x}{3}$$

Steps Using Definition of a Derivative

Combine \frac{7}{3}x^{2} and 2x^{2} to get \frac{13}{3}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{13}{3}x^{2})$$

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

$$2\times \frac{13}{3}x^{2-1}$$

Multiply 2 times \frac{13}{3}.

$$\frac{26}{3}x^{2-1}$$

Subtract 1 from 2.

$$\frac{26}{3}x^{1}$$

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

$$\frac{26}{3}x$$

Evaluate

$$\frac{13x^{2}}{3}$$

Solution Steps

Combine \frac{7}{3}x^{2} and 2x^{2} to get \frac{13}{3}x^{2}.

$$\frac{13}{3}x^{2}$$