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An inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y, then the inverse function of...

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v².

^{U = cos(x) which differentiates to -sin(x) so u'= -sin(x)}

^{v = x...}

This question is asking us to split up the fraction into two separate fractions.To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).To solve set the first ...

We can immediately see that more than differentiation rule will be needed here. The expression in question is the product of two smaller expressions, so the product rule may be useful. But to apply the...

These cubic equations are usually fairly simple once the method is known, firstly make the right hand side (RHS) equal to zero by subtracting 1 from both sides:

x^3+4x^2+x-6=0

...