Differentiate w.r.t. b
48b^{3}
Evaluate
12b^{4}
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\frac{\mathrm{d}}{\mathrm{d}b}(12b^{4})
Multiply 4 and 3 to get 12.
4\times 12b^{4-1}
The derivative of ax^{n} is nax^{n-1}.
48b^{4-1}
Multiply 4 times 12.
48b^{3}
Subtract 1 from 4.
12b^{4}
Multiply 4 and 3 to get 12.
Examples
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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