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Let y = tan(x)
Recall the definition of tan(x) as sin(x)/cos(x)
Therefore y = sin(x)/cos(x)
Use the quotient rule, which states that for y = f(x)/g(x), dy/dx =...
The quick answer is that d/dx a^x = ln(a) * a^x. But why?
Well, let's go through the steps so we can understand why the formula works.
Firstly, a^x can be written as (e^(ln(...
We are tasked with differentiating y = sin(x2)ln(5x)This function is actually a product of the functions:sin(x2) and ln(5x)Therefore the product rule will be re...
Solving cubics is an interesting problem: while there is a formula which can find the roots of every cubic equation, it isn't taught and is not generally worth learning. Instead, exam questions will of...
We recall that a function f(x) is said to be an odd function when f(-x)=-f(x).
We are told that f(x) and g(x) are odd functions, so we know from the abov...
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