For x >= 0, define H(x) = f0^x^2 cos(t^2) dt. Find H'(x).
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Find the derivatives of the following functions(with respect to x)
1. Evaluate the limit (sin 2t)/ (sin 6t) as t -> 0
Limit=?
2. Evaluate the limit as x -> 0 sin(3x)/8x
3. Find limit as theta -> 0 (cos theta - 1)/(9 sin theta)
4. Differentiate h(t) = -2 csc t + e^t cot t
h'(t)=?
5. Let f(x) = (4tan(x))/x
f'(x)=?
f'(5)=?