Evaluate
\frac{1}{20ft}
Differentiate w.r.t. f
-\frac{1}{20tf^{2}}
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\frac{1}{10ft}\times \frac{1}{2}
Cancel out 3ft in both numerator and denominator.
\frac{1}{10ft\times 2}
Multiply \frac{1}{10ft} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{20ft}
Multiply 10 and 2 to get 20.
Examples
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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