- #1
PlasmaSphere
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1. Differenciate the following functions
i) y = x2ln(4x)
ii) y = ln (x + 1)/x
iii) y = ln (x2 - 1)1/22. Laws for differentiating logs and exponentials
3. I did some of the more easy one's, these ones just got me stumped.
i) i think you would use the product rule. so u = x2 and v = ln(4x)
du/dx = 2x and dv/du = 1/x
which gives; x2.1/x + ln(4x).2x = x + 2x ln(4x) ?
ii) I would start using the quotient rule, but I'm not sure where the ln comes into it.
iii) Chain rule? i can't see what you have to break it into.
Are there any easy ways to learn how to differenciate logarithms and exponentials?, i don't want to learn each individual case off by heart, that would take a while. I can't seem to get my head around them.
i) y = x2ln(4x)
ii) y = ln (x + 1)/x
iii) y = ln (x2 - 1)1/22. Laws for differentiating logs and exponentials
3. I did some of the more easy one's, these ones just got me stumped.
i) i think you would use the product rule. so u = x2 and v = ln(4x)
du/dx = 2x and dv/du = 1/x
which gives; x2.1/x + ln(4x).2x = x + 2x ln(4x) ?
ii) I would start using the quotient rule, but I'm not sure where the ln comes into it.
iii) Chain rule? i can't see what you have to break it into.
Are there any easy ways to learn how to differenciate logarithms and exponentials?, i don't want to learn each individual case off by heart, that would take a while. I can't seem to get my head around them.
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