1. Differentiation

Can somebody help me ok this:

[IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG]To find dy/dx...The questions in attachment....

Highly appreciate if someone can help me...tq...

2. Ill help you get the answer but i cant give it for every single one so ill give you some rules to use...

If you differentiate $\displaystyle x^n$ then you get $\displaystyle nx^{n-1}$. (n being a real number)

Re-write problem 1 as $\displaystyle x^{0.5} + x^{-\frac{1}{3}}$ and use the above on that...

The chain rule will come in useful for a lot of these... Chain rule - Wikipedia, the free encyclopedia

Use the Quotient Rule for question 4... Give it a try and see how you get on.

Product rule: $\displaystyle \frac{d}{dx}(u \cdot v) = u \cdot \frac{dv}{dx} + v \cdot \frac{du}{dx}$.

Ill use your question 5 as an example...

In this case we have $\displaystyle u = cos 2x$ and $\displaystyle v = sin 3x$. So we leave 'u' as it is and differentiate sin3x (using the chain rule) to get 3cos3x. Then leave 'v' as it is and differentiate cos2x to get -2sin2x. Now add these together to get $\displaystyle cos2x \cdot 3cos3x - sin3x \cdot 2sin2x$.

3. Originally Posted by ab.empire
Can somebody help me ok this:

[IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG][IMG]file:///C:/DOCUME%7E1/DIDI%7E1.E/LOCALS%7E1/Temp/moz-screenshot-1.jpg[/IMG]To find dy/dx...The questions in attachment....

Highly appreciate if someone can help me...tq...
What I said here: http://www.mathhelpforum.com/math-he...integrals.html

applies here (except replace integration with differentiation). Thread closed.