Solve 4x^2-12xx+9x^2=

$$4 x ^ { 2 } - 12 x x + 9 x ^ { 2 } =$$

Evaluate

$$x^{2}$$

Solution Steps

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

$$4x^{2}-12x^{2}+9x^{2}$$

Combine 4x^{2} and -12x^{2} to get -8x^{2}.

$$-8x^{2}+9x^{2}$$

Combine -8x^{2} and 9x^{2} to get x^{2}.

$$x^{2}$$

Differentiate w.r.t. x

$$2x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}-12x^{2}+9x^{2})$$

Combine 4x^{2} and -12x^{2} to get -8x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-8x^{2}+9x^{2})$$

Combine -8x^{2} and 9x^{2} to get x^{2}.

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

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

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

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$