Solve 135x^2-5x^2

$$135 { x }^{ 2 } -5 { x }^{ 2 }$$

Differentiate w.r.t. x

$$260x$$

Steps Using Definition of a Derivative

Combine 135x^{2} and -5x^{2} to get 130x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(130x^{2})$$

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

$$2\times 130x^{2-1}$$

Multiply 2 times 130.

$$260x^{2-1}$$

Subtract 1 from 2.

$$260x^{1}$$

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

$$260x$$

Evaluate

$$130x^{2}$$

Solution Steps

Combine 135x^{2} and -5x^{2} to get 130x^{2}.

$$130x^{2}$$