Differentiate w.r.t. v
-2v
Evaluate
-v^{2}-186
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\frac{\mathrm{d}}{\mathrm{d}v}(-v^{2}-186)
Subtract 216 from 30 to get -186.
2\left(-1\right)v^{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}.
-2v^{2-1}
Multiply 2 times -1.
-2v^{1}
Subtract 1 from 2.
-2v
For any term t, t^{1}=t.
-v^{2}-186
Subtract 216 from 30 to get -186.
Examples
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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.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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