Solve (3)-m^8divm^2

$$( 3 ) - m ^ { 8 } \div m ^ { 2 }$$

Differentiate w.r.t. m

$$-6m^{5}$$

Steps Using Derivative Rule for Sum

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 8 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}m}(3-m^{6})$$

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}.

$$6\left(-1\right)m^{6-1}$$

Multiply 6 times -1.

$$-6m^{6-1}$$

Subtract 1 from 6.

$$-6m^{5}$$

Evaluate

$$3-m^{6}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 8 to get 6.

$$3-m^{6}$$