Solve 45x^2+18x^2

$$45 { x }^{ 2 } +18 { x }^{ 2 }$$

Differentiate w.r.t. x

$$126x$$

Steps Using Definition of a Derivative

Combine 45x^{2} and 18x^{2} to get 63x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(63x^{2})$$

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

$$2\times 63x^{2-1}$$

Multiply 2 times 63.

$$126x^{2-1}$$

Subtract 1 from 2.

$$126x^{1}$$

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

$$126x$$

Evaluate

$$63x^{2}$$

Solution Steps

Combine 45x^{2} and 18x^{2} to get 63x^{2}.

$$63x^{2}$$