Find the derivative of y - 1-x - 1-x2 - 3-x3

y=1x+1x^2+3x^3 dydx= 1x^2 2x^3 9x^4 ...

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Algebra of Derivatives

Find the deri...

Question

Find the derivative of $y = \frac{1}{x} + \frac{1}{x^{2}} + \frac{3}{x^{3}}$

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f (x) = 1 + x + x^{2} + x^{3} + . . . . + x^{50}

x = 1

f (x) = 1 + x + x^{2} + x^{3} + \dots + x^{50}

x = 1.

y = \frac{1}{4} ln \frac{x^{2} - 1}{x^{2} + 1}

Find the derivative of the following functions from first principle.

(i) $x^{3}$ - 27
(ii) (x-1) (x-2)

(iii) $\frac{1}{x^{2}}$
(iv) $\frac{x + 1}{x - 1}$

y

x

x = 1

y

y = \sqrt{x^{3} + 1}

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