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Evaluate
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Differentiate w.r.t. m
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\frac{2\times 22}{7}\times 0.4m
Express 2\times \frac{22}{7} as a single fraction.
\frac{44}{7}\times 0.4m
Multiply 2 and 22 to get 44.
\frac{44}{7}\times \frac{2}{5}m
Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{44\times 2}{7\times 5}m
Multiply \frac{44}{7} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{88}{35}m
Do the multiplications in the fraction \frac{44\times 2}{7\times 5}.
\frac{\mathrm{d}}{\mathrm{d}m}(\frac{2\times 22}{7}\times 0.4m)
Express 2\times \frac{22}{7} as a single fraction.
\frac{\mathrm{d}}{\mathrm{d}m}(\frac{44}{7}\times 0.4m)
Multiply 2 and 22 to get 44.
\frac{\mathrm{d}}{\mathrm{d}m}(\frac{44}{7}\times \frac{2}{5}m)
Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{\mathrm{d}}{\mathrm{d}m}(\frac{44\times 2}{7\times 5}m)
Multiply \frac{44}{7} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\mathrm{d}}{\mathrm{d}m}(\frac{88}{35}m)
Do the multiplications in the fraction \frac{44\times 2}{7\times 5}.
\frac{88}{35}m^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{88}{35}m^{0}
Subtract 1 from 1.
\frac{88}{35}\times 1
For any term t except 0, t^{0}=1.
\frac{88}{35}
For any term t, t\times 1=t and 1t=t.