Evaluate
4x^{21}
Differentiate w.r.t. x
84x^{20}
Graph
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4x^{14}x^{7}
Divide 16x^{14} by 4 to get 4x^{14}.
4x^{21}
To multiply powers of the same base, add their exponents. Add 14 and 7 to get 21.
\frac{\mathrm{d}}{\mathrm{d}x}(4x^{14}x^{7})
Divide 16x^{14} by 4 to get 4x^{14}.
\frac{\mathrm{d}}{\mathrm{d}x}(4x^{21})
To multiply powers of the same base, add their exponents. Add 14 and 7 to get 21.
21\times 4x^{21-1}
The derivative of ax^{n} is nax^{n-1}.
84x^{21-1}
Multiply 21 times 4.
84x^{20}
Subtract 1 from 21.
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
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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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