Differentiate w.r.t. x
-189x^{6}-50
Evaluate
8-50x-27x^{7}
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7\left(-27\right)x^{7-1}-50x^{1-1}
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}.
-189x^{7-1}-50x^{1-1}
Multiply 7 times -27.
-189x^{6}-50x^{1-1}
Subtract 1 from 7.
-189x^{6}-50x^{0}
Subtract 1 from 1.
-189x^{6}-50
For any term t except 0, t^{0}=1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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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