Solve 6x^2-3xx

$$6 { x }^{ 2 } -3xx$$

Evaluate

$$3x^{2}$$

Solution Steps

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

$$6x^{2}-3x^{2}$$

Combine 6x^{2} and -3x^{2} to get 3x^{2}.

$$3x^{2}$$

Differentiate w.r.t. x

$$6x$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2\times 6x^{2-1}+\left(-3x\right)x^{1-1}$$

Multiply 2 times 6.

$$12x^{2-1}+\left(-3x\right)x^{1-1}$$

Subtract 1 from 2.

$$12x^{1}+\left(-3x\right)x^{1-1}$$

Subtract 1 from 1.

$$12x^{1}+\left(-3x\right)x^{0}$$

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

$$12x+\left(-3x\right)x^{0}$$

For any term t except 0, t^{0}=1.

$$12x+\left(-3x\right)\times 1$$

For any term t, t\times 1=t and 1t=t.

$$12x-3x$$