Differentiate w.r.t. x
\left(45x^{2}+16x+49\right)x^{6}
Evaluate
5x^{9}+2x^{8}+7x^{7}+2
Graph
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9\times 5x^{9-1}+8\times 2x^{8-1}+7\times 7x^{7-1}
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}.
45x^{9-1}+8\times 2x^{8-1}+7\times 7x^{7-1}
Multiply 9 times 5.
45x^{8}+8\times 2x^{8-1}+7\times 7x^{7-1}
Subtract 1 from 9.
45x^{8}+16x^{8-1}+7\times 7x^{7-1}
Multiply 8 times 2.
45x^{8}+16x^{7}+7\times 7x^{7-1}
Subtract 1 from 8.
45x^{8}+16x^{7}+49x^{7-1}
Multiply 8 times 2.
45x^{8}+16x^{7}+49x^{6}
Subtract 1 from 7.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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