Solve 230x^2-65x^2=

$$230 x ^ { 2 } - 65 x ^ { 2 } =$$

Differentiate w.r.t. x

$$330x$$

Steps Using Definition of a Derivative

Combine 230x^{2} and -65x^{2} to get 165x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(165x^{2})$$

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

$$2\times 165x^{2-1}$$

Multiply 2 times 165.

$$330x^{2-1}$$

Subtract 1 from 2.

$$330x^{1}$$

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

$$330x$$

Evaluate

$$165x^{2}$$

Solution Steps

Combine 230x^{2} and -65x^{2} to get 165x^{2}.

$$165x^{2}$$