Solve -15x^3/-3x

$$\frac { - 15 x ^ { 3 } } { - 3 x }$$

Evaluate

$$5x^{2}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(-15\right)^{1}x^{3}}{\left(-3\right)^{1}x^{1}}$$

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

$$\frac{\left(-15\right)^{1}x^{3-1}}{\left(-3\right)^{1}}$$

Subtract 1 from 3.

$$\frac{\left(-15\right)^{1}x^{2}}{\left(-3\right)^{1}}$$

Divide -15 by -3.

$$5x^{2}$$

Differentiate w.r.t. x

$$10x$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{15}{-3}\right)x^{3-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2})$$

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}.

$$2\times 5x^{2-1}$$

Do the arithmetic.

$$10x^{1}$$

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

$$10x$$