Solve 3x^2--x^2

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

Evaluate

$$4x^{2}$$

Solution Steps

Multiply -1 and -1 to get 1.

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

Combine 3x^{2} and x^{2} to get 4x^{2}.

$$4x^{2}$$

Differentiate w.r.t. x

$$8x$$

Steps Using Definition of a Derivative

Multiply -1 and -1 to get 1.

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

Combine 3x^{2} and x^{2} to get 4x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2})$$

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

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

Multiply 2 times 4.

$$8x^{2-1}$$

Subtract 1 from 2.

$$8x^{1}$$

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

$$8x$$