Solve 10x^2+x^2

$$10 x ^ { 2 } + x ^ { 2 }$$

Differentiate w.r.t. x

$$22x$$

Steps Using Definition of a Derivative

Combine 10x^{2} and x^{2} to get 11x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x^{2})$$

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

$$2\times 11x^{2-1}$$

Multiply 2 times 11.

$$22x^{2-1}$$

Subtract 1 from 2.

$$22x^{1}$$

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

$$22x$$

Evaluate

$$11x^{2}$$

Solution Steps

Combine 10x^{2} and x^{2} to get 11x^{2}.

$$11x^{2}$$