Differentiate w.r.t. d
96d^{11}
Evaluate
8d^{12}
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\frac{\mathrm{d}}{\mathrm{d}d}(d^{12}\times 8)
To multiply powers of the same base, add their exponents. Add 6 and 6 to get 12.
12\times 8d^{12-1}
The derivative of ax^{n} is nax^{n-1}.
96d^{12-1}
Multiply 12 times 8.
96d^{11}
Subtract 1 from 12.
d^{12}\times 8
To multiply powers of the same base, add their exponents. Add 6 and 6 to get 12.
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
Arithmetic
699 * 533
Matrix
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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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