Solve d^2/d^-frac{7{4}}

$$\frac { d ^ { 2 } } { d ^ { - \frac { 7 } { 4 } } }$$

Differentiate w.r.t. d

$$\frac{15d^{\frac{11}{4}}}{4}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}d}(\frac{1}{1}d^{2-\left(-\frac{7}{4}\right)})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}d}(d^{\frac{15}{4}})$$

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}.

$$\frac{15}{4}d^{\frac{15}{4}-1}$$

Do the arithmetic.

$$\frac{15}{4}d^{\frac{11}{4}}$$

Evaluate

$$d^{\frac{15}{4}}$$