Homework SourseUse the fundamental theorem of calculus to differentiate ddx
Use the fundamental theorem of calculus to differentiate d/dx ? (x^2 to x) (t^2cot(t))dt
Solution
x*x (x+h)^2 - x*x /h h*h + 2xh / h h + 2x where h tends to zero 2x asnwer b) [(t+h)^2 cot(t+h) - t*t cot(t)] / h t*t[cot(t+h) - cot t]/h + 2t cot(t+h) + h*cot(t+h) t*t -sin(h)/[ h* sint sint ] + 2t cot(t+h) + h cot(t+h) h tends to zero : -t*t cosec^2(t) + 2t cot (t) answer
