Differentiation issues

Hi all,

Really struggling with some differentiation :confused:

Has anyone got any ideas about how I would work out a problem like this -

(2x^2+10)^3/4

would you start ((2x^2+10)^3)/4???

Original post by VirginiaFish27

Hi all,

Really struggling with some differentiation :confused:

Has anyone got any ideas about how I would work out a problem like this -

(2x^2+10)^3/4

would you start ((2x^2+10)^3)/4???

I'm assuming that it's to the power

\frac{3}{4}

.

I'd suggest substituting

u = (2x^2 + 10)

and using the chain rule.

Original post by VirginiaFish27

Hi all,

Really struggling with some differentiation :confused:

Has anyone got any ideas about how I would work out a problem like this -

(2x^2+10)^3/4

would you start ((2x^2+10)^3)/4???

This requires the chain rule - if you set

u = 2x^2 + 10

then you have the function

y = u^{3/4}

so you should be able to work out

\dfrac{dy}{du}

and

\dfrac{du}{dx}

Once you have done as they said then remember that the chain rule is

\displaystyle \dfrac{dy}{dx}=\dfrac{dy}{du} \dfrac{du}{dx}

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