Solve 3x^2-14*-5=

$$3 { x }^{ 2 } -14 \times -5=$$

Evaluate

$$3x^{2}+70$$

Solution Steps

Multiply 14 and -5 to get -70.

$$3x^{2}-\left(-70\right)$$

The opposite of -70 is 70.

$$3x^{2}+70$$

Differentiate w.r.t. x

$$6x$$

Steps Using Derivative Rule for Sum

Multiply 14 and -5 to get -70.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-\left(-70\right))$$

The opposite of -70 is 70.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+70)$$

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}.

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

Multiply 2 times 3.

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

Subtract 1 from 2.

$$6x^{1}$$

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

$$6x$$