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a) f'(x)=uv'+vu' if f(x)= uv
u=2x u'=2 v=sin(x) v'=cos(x)
g'(x)=2x cos(x) +2sin(x)
b) g'(π) = 2π cos(π)+2sin(π) = 2 π (-1) + 2 (0)
g'(π) = -2π
The product rule states (assuming x' is the differential of x): (fg)′=f′g+fg′ Substitute the values into the rule: (sin(x)cos(x))' = sin(x)'cos(x) + sin(x)cos(x)' (sin(x)cos(x))'...
For all straight line equations as the one above, the equation is y=mx+c where: m is the gradient, c is the y-intercept. Thus from the arrangement of the given equation, gradient ...
The separation of powers is a concept first articulated by Montesquieu in his book 'The Spirit of the Laws'. In the book Montesquieu puts forward the idea that if the executive, legislative and judicial f...
Essentially the main difference between prokaryotes and eukaryote is that eukaryotes have compartmentalised organelles. This leads to major differences in their structure. Eukaryotes have a nucleus, with ...
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