Solve 2m^25m^2

$$2 { m }^{ 2 } 5 { m }^{ 2 }$$

Evaluate

$$10m^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$2m^{4}\times 5$$

Multiply 2 and 5 to get 10.

$$10m^{4}$$

Differentiate w.r.t. m

$$40m^{3}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{4}\times 5)$$

Multiply 2 and 5 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}m}(10m^{4})$$

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

$$4\times 10m^{4-1}$$

Multiply 4 times 10.

$$40m^{4-1}$$

Subtract 1 from 4.

$$40m^{3}$$