Solve 18m^245m

$$18 m ^ { 2 } 45 m$$

Evaluate

$$810m^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$18m^{3}\times 45$$

Multiply 18 and 45 to get 810.

$$810m^{3}$$

Differentiate w.r.t. m

$$2430m^{2}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}m}(18m^{3}\times 45)$$

Multiply 18 and 45 to get 810.

$$\frac{\mathrm{d}}{\mathrm{d}m}(810m^{3})$$

The derivative of ax^{n} is nax^{n-1}.

$$3\times 810m^{3-1}$$

Multiply 3 times 810.

$$2430m^{3-1}$$

Subtract 1 from 3.

$$2430m^{2}$$