Solve 3x^3/3x

$$\frac { 3 x ^ { 3 } } { 3 x }$$

Evaluate

$$x^{2}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{3^{1}x^{3}}{3^{1}x^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

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

Subtract 1 from 1.

$$3^{0}x^{3-1}$$

For any number a except 0, a^{0}=1.

$$x^{3-1}$$

Subtract 1 from 3.

$$x^{2}$$

Differentiate w.r.t. x

$$2x$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{3}x^{3-1})$$

Do the arithmetic.

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

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}.

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

Do the arithmetic.

$$2x^{1}$$

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

$$2x$$