Solve 16x^3-6xdivx+3

$$16 { x }^{ 3 } -6x \div x+3$$

Evaluate

$$16x^{3}-3$$

Solution Steps

Cancel out x in both numerator and denominator.

$$16x^{3}-6+3$$

Add -6 and 3 to get -3.

$$16x^{3}-3$$

Differentiate w.r.t. x

$$48x^{2}$$

Steps Using Derivative Rule for Sum

Cancel out x in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x^{3}-6+3)$$

Add -6 and 3 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x^{3}-3)$$

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}.

$$3\times 16x^{3-1}$$

Multiply 3 times 16.

$$48x^{3-1}$$

Subtract 1 from 3.

$$48x^{2}$$