Find the derivative of each of the following, $y = 4x^2 - \frac{3}{\sqrt{x}} + \frac{5}{2x^2}$ \(y

Question

Find the derivative of each of the following, $y = 4x^2 - \frac{3}{\sqrt{x}} + \frac{5}{2x^2}$ $y = \frac{3\sqrt{x} - 3x^2 - 6x}{x}$ $y = \frac{\sqrt{x} - x^7 + 5x}{\sqrt{x}}$

Accepted Answer

(a) $8x+\frac32x^{-3/2}-5x^{-3}$ (b) $-\frac32x^{-3/2}-3$ (c) $-\frac{13}{2}x^{11/2}+\frac52x^{-1/2}$

Differentiation - Power Rule and Derivatives of Algebraic Functions

Differentiation - Power Rule and Derivatives of Algebraic Functions

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