Solve =91m^2+22/7*7/2*7/2m^2

$$= 91 m ^ { 2 } + \frac { 22 } { 7 } \times \frac { 7 } { 2 } \times \frac { 7 } { 2 } m ^ { 2 }$$

Evaluate

$$\frac{259m^{2}}{2}$$

Solution Steps

Multiply \frac{22}{7} and \frac{7}{2} to get 11.

$$91m^{2}+11\times \frac{7}{2}m^{2}$$

Multiply 11 and \frac{7}{2} to get \frac{77}{2}.

$$91m^{2}+\frac{77}{2}m^{2}$$

Combine 91m^{2} and \frac{77}{2}m^{2} to get \frac{259}{2}m^{2}.

$$\frac{259}{2}m^{2}$$

Differentiate w.r.t. m

$$259m$$

Steps Using Definition of a Derivative

Multiply \frac{22}{7} and \frac{7}{2} to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}m}(91m^{2}+11\times \frac{7}{2}m^{2})$$

Multiply 11 and \frac{7}{2} to get \frac{77}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(91m^{2}+\frac{77}{2}m^{2})$$

Combine 91m^{2} and \frac{77}{2}m^{2} to get \frac{259}{2}m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{259}{2}m^{2})$$

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

$$2\times \frac{259}{2}m^{2-1}$$

Multiply 2 times \frac{259}{2}.

$$259m^{2-1}$$

Subtract 1 from 2.

$$259m^{1}$$

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

$$259m$$