Solve 4x^2+5*3-x

$$4 { x }^{ 2 } +5 \times 3-x$$

Differentiate w.r.t. x

$$8x-1$$

Steps Using Derivative Rule for Sum

Multiply 5 and 3 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}+15-x)$$

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}.

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

Multiply 2 times 4.

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

Subtract 1 from 2.

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

Subtract 1 from 1.

$$8x^{1}-x^{0}$$

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

$$8x-x^{0}$$

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

$$8x-1$$

Evaluate

$$4x^{2}-x+15$$

Solution Steps

Multiply 5 and 3 to get 15.

$$4x^{2}+15-x$$