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DJ-Smiles
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URGENT !Year 11 Double variable derivatives
I am having trouble with this question it is derivatives. Previously I have been able to complete these with no trouble but am a little confused with how start this one:
y= a^2(3x+5)^3.
I don't know whether to use the product rule and just leave it with two unknown variables or try and find a value for both a and x.
I tried this :
u= a^2
u'= 2a
v=(3x+5)^3
v= 9(3x+5)^2
y'= v'u +u'v
= 9a^2(3x+5)^2 + 2a(3x+5)^3
=a(3x+5)^2[2(3x+5) +9a)]
=a(3x+5)^2(6x+5+9a)
Help me please
I am having trouble with this question it is derivatives. Previously I have been able to complete these with no trouble but am a little confused with how start this one:
y= a^2(3x+5)^3.
I don't know whether to use the product rule and just leave it with two unknown variables or try and find a value for both a and x.
I tried this :
u= a^2
u'= 2a
v=(3x+5)^3
v= 9(3x+5)^2
y'= v'u +u'v
= 9a^2(3x+5)^2 + 2a(3x+5)^3
=a(3x+5)^2[2(3x+5) +9a)]
=a(3x+5)^2(6x+5+9a)
Help me please