Quandaries and Queries
Hi, I am having a lot of trouble with three calculus questions and was wondering if you could help...pleaseee
1. Find the two points on the curve y=x^4-2x^2-x that have a common tangent line.
2. If f is differentiable at a, where a>0, evaluate the following limit in terms of f ' (a):
lim x--> a f(x)-f(a) / x^ .5 - a^ .5
lim x--> 0 (sin(3+x)^2 - sin 9) / (x)
Thanks for all your'e help.
I'll show you how to do the second problem. Multiply the numerator and denominator of
by x0.5 + a0.5.
Now if you take the limit as x approaches a you get
Are you sure that the third problem is correct?