Solve 3x^2-2x^2+x^2=

$$3 x ^ { 2 } - 2 x ^ { 2 } + x ^ { 2 } =$$

Evaluate

$$2x^{2}$$

Solution Steps

Combine 3x^{2} and -2x^{2} to get x^{2}.

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

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

$$2x^{2}$$

Differentiate w.r.t. x

$$4x$$

Steps Using Definition of a Derivative

Combine 3x^{2} and -2x^{2} to get x^{2}.

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

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

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

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

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

Multiply 2 times 2.

$$4x^{2-1}$$

Subtract 1 from 2.

$$4x^{1}$$

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

$$4x$$