Solve 2*10^4m^3

$$2 \times 10 ^ { 4 } m ^ { 3 }$$

Evaluate

$$20000m^{3}$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$2\times 10000m^{3}$$

Multiply 2 and 10000 to get 20000.

$$20000m^{3}$$

Differentiate w.r.t. m

$$60000m^{2}$$

Steps Using Definition of a Derivative

Calculate 10 to the power of 4 and get 10000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(2\times 10000m^{3})$$

Multiply 2 and 10000 to get 20000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(20000m^{3})$$

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

$$3\times 20000m^{3-1}$$

Multiply 3 times 20000.

$$60000m^{3-1}$$

Subtract 1 from 3.

$$60000m^{2}$$