Solve 42.544*{x}^frac{3{2}}

$$42.544 \times { x }^{ \frac{ 3 }{ 2 } }$$

Differentiate w.r.t. x

$$\frac{7977\sqrt{x}}{125}$$

Steps Using Definition of a Derivative

The derivative of ax^{n} is nax^{n-1}.

$$\frac{3}{2}\times 42.544x^{\frac{3}{2}-1}$$

Multiply \frac{3}{2} times 42.544 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$\frac{7977}{125}x^{\frac{3}{2}-1}$$

Subtract 1 from \frac{3}{2}.

$$\frac{7977}{125}\sqrt{x}$$

Evaluate

$$\frac{5318x^{1.5}}{125}$$