Differentiate w.r.t. p
2p
Evaluate
p^{2}+25
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\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}+25)
Calculate 5 to the power of 2 and get 25.
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}.
2p^{1}
Subtract 1 from 2.
2p
For any term t, t^{1}=t.
p^{2}+25
Calculate 5 to the power of 2 and get 25.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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.
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\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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