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Derivatives (35 questions)

Question	Answer


Differentiate:
Differentiate: $\frac{8}{x^2}$	$\frac{-16}{x^3}$
Differentiate: $\frac{6}{x^{1/3}}$	$\frac{-6}{3x^{-4/3}}$
Differentiate $\frac{x+2}{\sqrt{x}}$	$\frac{1}{2 \sqrt{x}} - \frac{1}{x \sqrt{x}}$
Differentiate $\frac{3}{4 x^2}$	$\frac{-3}{2x^3}$
Differentiate $x^{9/4}$	$\frac{9}{4} x^{5/4}$
Differentiate $x^{2/3} - 7 x^{-1/3}$	$\frac{2}{3} x^{-1/3} + \frac{7}{3} x^{-4/3}$
Differentiate $x^{2/3} + 7 x^{1/3}$	$\frac{2}{3} x^{-1/3} + \frac{7}{3} x^{-2/3}$
Differentiate $\frac{-2x^3 + 2x}{x}$
Differentiate $\frac{8}{x^{1/2}}$	$\frac{-4}{x ^{-3/2}}$
Differentiate $\sqrt[5]{x^3}$	$\frac{3 x^{2/3}}{5}$
Differentiate $x^4 - 3(x^2 + \pi^2)$
Differentiate $x^4 - 3(x^2 + \pi^2 x)$	$4x^3 - 3(2x + \pi^2 )$
Differentiate $x^4 - 3(x^2 + 2 \pi x)$	$4 x^3 - 3(2x + 2 \pi)$
Differentiate $\sqrt{3} x + \frac{1}{\pi+1}$	$\sqrt{3}$
Differentiate $\sqrt{3} x + \frac{x}{\pi + 1}$	$\sqrt{3} + \frac{1}{\pi + 1}$
Differentiate $\frac{2}{3 x^2} - \frac{3}{x}$	$\frac{-4}{3x^3} + \frac{3}{x^2}$
Differentiate $\frac{2}{3 x^2} +\frac{3}{x}$	$\frac{-4}{3 x^3} - \frac{3}{x^2}$
Differentiate $\frac{3t^3 + 4t^2 - 1}{t^2}$	$3 + \frac{2}{t^3}$
Differentiate $2 \sqrt[3]{x^5}$	$\frac{10}{3}x^{\frac{2}{3}}$
Differentiate $2 \sqrt[5]{x^3}$	$\frac{6}{5} x^{\frac{-2}{5}}$
Differentiate $\frac{5}{\sqrt[3]{x}}$	$\frac{-5}{3 x^{4/3}}$
Differentiate
Differentiate $\frac{2}{3x^2}$	$\frac{-4}{3x^3}$
Differentiate $\frac{\sqrt{x}}{x}$	$\frac{-1}{2 x^{3/2}}$
Differentiate $\frac{3}{x^{-2}}$
Differentiate $3x^{-2}$	$-6x^{-3}$
Differentiate $\frac{4x^2 - 3x}{5}$	$\frac{8x-3}{5}$
Differentiate $\frac{x^2+1}{\sqrt{x}}$	$\frac{3 \sqrt{x}}{2} - \frac{1}{2 \sqrt{x}}$
Differentiate $2 \sqrt[5]{x^3}$	$\frac{6}{5 \sqrt[5]{x^2}}$
Differentiate $\frac{x^3 + 4}{x}$	$2x - \frac{4}{x^2}$
Differentiate .
Differentiate $2x^{12}$ .	$24x^{11}$
Differentiate .