Differentiate w.r.t. p
4ep^{3}+2p
Evaluate
ep^{4}+p^{2}+1
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4ep^{4-1}+2p^{2-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
4ep^{3}+2p^{2-1}
Subtract 1 from 4.
4ep^{3}+2p^{1}
Subtract 1 from 2.
4ep^{3}+2p
For any term t, t^{1}=t.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Limits
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