Solve 6x^2+13x^2

$$6 x ^ { 2 } + 13 x ^ { 2 }$$

Differentiate w.r.t. x

$$38x$$

Steps Using Definition of a Derivative

Combine 6x^{2} and 13x^{2} to get 19x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(19x^{2})$$

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

$$2\times 19x^{2-1}$$

Multiply 2 times 19.

$$38x^{2-1}$$

Subtract 1 from 2.

$$38x^{1}$$

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

$$38x$$

Evaluate

$$19x^{2}$$

Solution Steps

Combine 6x^{2} and 13x^{2} to get 19x^{2}.

$$19x^{2}$$