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Differentiate w.r.t. x
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2x^{2-1}+\frac{5}{4}\left(-1\right)x^{\frac{5}{4}-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}.
2x^{1}+\frac{5}{4}\left(-1\right)x^{\frac{5}{4}-1}
Subtract 1 from 2.
2x^{1}-\frac{5}{4}x^{\frac{5}{4}-1}
Multiply \frac{5}{4} times -1.
2x^{1}-\frac{5}{4}\sqrt[4]{x}
Subtract 1 from \frac{5}{4}.
2x-\frac{5}{4}\sqrt[4]{x}
For any term t, t^{1}=t.