Differentiate w.r.t. x
\frac{5x^{\frac{3}{2}}}{2}+7x^{\frac{2}{5}}
Evaluate
x^{\frac{5}{2}}+5x^{\frac{7}{5}}+11
Graph
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\frac{5}{2}x^{\frac{5}{2}-1}+\frac{7}{5}\times 5x^{\frac{7}{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}.
\frac{5}{2}x^{\frac{3}{2}}+\frac{7}{5}\times 5x^{\frac{7}{5}-1}
Subtract 1 from \frac{5}{2}.
\frac{5}{2}x^{\frac{3}{2}}+7x^{\frac{7}{5}-1}
Multiply \frac{7}{5} times 5.
\frac{5}{2}x^{\frac{3}{2}}+7x^{\frac{2}{5}}
Subtract 1 from \frac{7}{5}.
Examples
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Limits
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