Hey right so I'm currently studying Pure Maths and I'm getting a bit confused on differentiation :/
Just wondering how would I differentiate 16√x and 32/x thanks!
Hey right so I'm currently studying Pure Maths and I'm getting a bit confused on differentiation :/
Just wondering how would I differentiate 16√x and 32/x thanks!
Okay, then the next hint is that the derivative of:
$\displaystyle c x^n$is
$\displaystyle c n x^{n-1}$
where n and c are arbitrary constants.
So for instance the derivative of
$\displaystyle 2x^3$is
$\displaystyle 2 \cdot 3 x^2$
Can you apply this?
Jodie, it sounds like you don't know how to differentiate anything...
Maybe you could type out an example of a derivative that you DO know, so we can help you from there.
The power rule of derivatives is arguably the first rule that you would learn, so if you can't do that...
I know that you bring the power to the front and then less one. Like, 2x^4 is 8x^3 so the basics! But when it gets to harder things like square roots, negative powers and fractions I know nothing Could you please link me to a site or rules or anything helpful? I have an exam in January and I'm trying to revise now :s thanks for replying and giving help, I'm new to this site and I really think it's helping
so does it just go -31^-2? I have a question which says.....
The curve C has equation y=16√x + 32/x + 2
a. Find the value of dy/dx when x=4
b. Find the equation of the normal to C at the point where x=4
I can find the equation of the normal when I have the coordinates or one coordinate and I have to find the other and only is y=3x^2 - 8x +7 something like that!
Close, but it should be:
$\displaystyle 32 \cdot -1 \cdot x^{-2} = -32 x^{-2} = -{32 \over x^2}$.
We'll get to your question in a sec.
Let's first finish your derivative.
Can you deduce what the derivative of $\displaystyle 16 x^{1 \over 2}$ is?