Linear Approximation

Find the linearization of the function $f(x)=\sqrt[\phantom{2}]{e^{x^5}-sin(2x)}$ at $a=0$ and use it to approximate the values of $f(0\mathrm{.}05)$ and $f(-0\mathrm{.}05)$

In order to find the linearization, our first step is to find

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Your last two answers in the line above should be integers

Now, we need to find

and

a$)$

So$,$ we first find that $=$

Your answer in the line above should be in terms of $x$

Now, we will use

No answer given