Solve 3x^2-2^2-4

$$3 { x }^{ 2 } - { 2 }^{ 2 } -4$$

Evaluate

$$3x^{2}-8$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$3x^{2}-4-4$$

Subtract 4 from -4 to get -8.

$$3x^{2}-8$$

Differentiate w.r.t. x

$$6x$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-4-4)$$

Subtract 4 from -4 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-8)$$

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.

$$6x$$