Solve 144x^2+36x^2

$$144 x ^ { 2 } + 36 x ^ { 2 }$$

Differentiate w.r.t. x

$$360x$$

Steps Using Definition of a Derivative

Combine 144x^{2} and 36x^{2} to get 180x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(180x^{2})$$

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

$$2\times 180x^{2-1}$$

Multiply 2 times 180.

$$360x^{2-1}$$

Subtract 1 from 2.

$$360x^{1}$$

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

$$360x$$

Evaluate

$$180x^{2}$$

Solution Steps

Combine 144x^{2} and 36x^{2} to get 180x^{2}.

$$180x^{2}$$