Solve =6(5.302)^2m^2

$$= 6 ( 5.302 ) ^ { 2 } m ^ { 2 }$$

Evaluate

$$\frac{21083403m^{2}}{125000}$$

Solution Steps

Calculate 5.302 to the power of 2 and get 28.111204.

$$6\times 28.111204m^{2}$$

Multiply 6 and 28.111204 to get 168.667224.

$$168.667224m^{2}$$

Differentiate w.r.t. m

$$\frac{21083403m}{62500}$$

Steps Using Definition of a Derivative

Calculate 5.302 to the power of 2 and get 28.111204.

$$\frac{\mathrm{d}}{\mathrm{d}m}(6\times 28.111204m^{2})$$

Multiply 6 and 28.111204 to get 168.667224.

$$\frac{\mathrm{d}}{\mathrm{d}m}(168.667224m^{2})$$

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

$$2\times 168.667224m^{2-1}$$

Multiply 2 times 168.667224.

$$337.334448m^{2-1}$$

Subtract 1 from 2.

$$337.334448m^{1}$$

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

$$337.334448m$$