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Find the derivative of the following functions ( it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers ) $4\sqrt x - 2$

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Let $ f(x) = 4\sqrt x-2$
$ f'(x) = \large\frac{d}{dx}$$(4\sqrt x-2)= \large\frac{d}{dx}$$(4\sqrt x)- \large\frac{d}{dx}$$(2)$
$ = 4 \large\frac{d}{dx}$$\bigg( x^{\large\frac{1}{2}} \bigg)$$-0=4 \bigg( \large\frac{1}{2}x^{\large\frac{1}{2}-1}\bigg)$
$\bigg( 2x^{-\large\frac{1}{2}}$$ \bigg)$$=\Large\frac{2}{\sqrt x}$
answered Apr 12, 2014 by thanvigandhi_1

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