Differentiate w.r.t. b
2b^{3}
Evaluate
\frac{b^{4}}{2}
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\frac{\mathrm{d}}{\mathrm{d}b}(\frac{b^{4}}{2})
Cancel out 3a^{3} in both numerator and denominator.
4\times \frac{1}{2}b^{4-1}
The derivative of ax^{n} is nax^{n-1}.
2b^{4-1}
Multiply 4 times \frac{1}{2}.
2b^{3}
Subtract 1 from 4.
\frac{b^{4}}{2}
Cancel out 3a^{3} in both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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