Differentiate w.r.t. x
4000x^{9}+200x^{4}
Evaluate
400x^{10}+40x^{5}+7
Graph
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10\times 400x^{10-1}+5\times 40x^{5-1}
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}.
4000x^{10-1}+5\times 40x^{5-1}
Multiply 10 times 400.
4000x^{9}+5\times 40x^{5-1}
Subtract 1 from 10.
4000x^{9}+200x^{5-1}
Multiply 5 times 40.
4000x^{9}+200x^{4}
Subtract 1 from 5.
Examples
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