Solved Problems

Tag: Differentiation Formula

Problem 2-11: Differentiating by Chain Rule

Differentiate $\left(1+\sqrt{x}\right)^{8}$ by using the chain rule.

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April 11, 2010
Problem 2-10: Diffrentiating

Diffrentiate
a) $f_1\left(x\right)= \displaystyle\frac{1-2x^2}{1+x+x^2}$
b) $f_2\left(x\right)= (1-2x^2)(1+x+x^2)$

Solution
The following rules can be used:
I) $\displaystyle\frac{d}{dx}ax^n=anx^{n-1}$
II) $\displaystyle\frac{d}{dx}\left(u+v\right)=\frac{du}{dx}+\frac{dv}{dx}$

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April 11, 2010