How do i find the derivative of the following? I'm having trouble on what kind of rule to use.
f(x)=5/(x^3) - 3/(2-7x) + 3x^5 - 15 (Quotient rule?)
g(x) = tan(x)ln(2x+5) (product rule?)
y=cos(3-2x^4) (chain Rule??)
thanks for your help
Just in case a picture helps...
... or, zooming in further...
... where
... is the product rule
... the chain rule. Straight continuous lines differentiate downwards (integrate up) with respect to x, and the straight dashed line similarly but with respect to the dashed balloon expression (the inner function of the composite which is subject to the chain rule).
Spoiler:
Spoiler:
Spoiler:
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Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!