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PRODUCT RULETherefore dy/dx=(x^3)(1/2x)(2)+(ln2x)(3x^2)=x^2+3x^2ln2x
Take the log of both sidesln(y) = ln(2^x)This can be re-written as:ln(y) = ln(2)*xTake the exponent of both sidese^ln(y) = e^(ln(2)*x)Which gives:y = e^(ln(2)*x)Since ln(2) is a constant, apply the usual ...
Using the table of standard derivatives given at the beginning of the Higher Paper we have, for f(x) = sin(ax), f'(x) = a * cos (ax)and so with this we have, g(x) = 4 * sin(3x), g'(x) = 4 * 3...
4 + 5 =9Lionel receives 5/9 x $675 = $375Lionel's mum receives 3/5 x $375 = $225
This can be solved using either substitution or elimination. I think this question is best approached by elimination.By elimination: Multiply the second equation by 5. The minus the first equation ...
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