\\\text{1. Find }\lim_{a\to 0}\frac{\sin^{-1}a}{a}\\ \text{2. Evaluate }\lim_{h\to 0}\frac{(2x+h)h}{\left((x+h)\sqrt{1-x^2}+x\sqrt{1-(x+h)^2}\right)h}\\ \text{3. Use the definition of the derivative to find }f^\prime(x)\text{, if }f(x)=\sin^{-1}x
Legit? Cause whilst he wasn't boring to the fullest in accounting 1A he was honestly the slowest and most repetitive lecturer I had; staying awake was not an easy thing. Don't recall tips either.
Unless he was just more suitable for this course
\frac{2\sin x \cos x}{\sin x + \cos x - 1}=\frac{1+2\sin x \cos x - 1}{\sin x + \cos x -1 }=\frac{\sin^2x + \cos^2x + 2\sin x \cos x-1}{\sin x + \cos x - 1}
Re: First Year Uni Calculus Marathon
\text{Does there exist a family of at least once differentiable, two variable functions }f(x,y)\text{ such that}
\\ f\text{ is non-constant and}\\ \frac{\partial f}{\partial x}=\frac{\partial f}{\partial y}