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

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

Evaluate

$$3x^{2}$$

Solution Steps

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

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

Combine -3x and 3x to get 0.

$$3x^{2}$$

Differentiate w.r.t. x

$$6x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-3x+3x)$$

Combine -3x and 3x to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2})$$

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

$$2\times 3x^{2-1}$$

Multiply 2 times 3.

$$6x^{2-1}$$

Subtract 1 from 2.

$$6x^{1}$$

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

$$6x$$