^{4}√8/x^8

**top/bottom**]

**bottom**)(

**top'**) - (

**top**)(

**bottom'**)]/bottom^2

**top = 8**

^{1/4}**bottom = x**

^{8}**[(bottom)(top') - (top)(bottom')]/bottom^2 ===> [(x**

^{8})(d(8^{1/4})) - (8^{1/4})(d(x^{8})]/(x^{8})^{2}**(Are you with me?)**

**what is the derivative of a constant? 0! Now the expression becomes**

**[0 - (8**

^{1/4})(d(x^{8})]/(x^{8})^{2}**First, what is the value of the denominator? (Multiply the exponents in that expression yields, x**

^{16}.**This yields, [- (8**

^{1/4})(d(x^{8})]/x^{16}**Finally, what is the derivative of x**

^{8}**The formula is as follows :**

**f(x) = X**

^{N}; then f^{'}(x) = NX^{N-1}; applying yields ==> [- (8^{1/4})(8x^{7})]/x^{16}**CALCULUS**; You are among the

**ELITE**)

**Adding the exponents of 8 yields : 8**

^{5/4}**subtracting the exponents of X yields : X**

^{-9}**ANS: - 8**

^{5/4}/X^{9}