Questions from General Calculus

Q: A car is traveling at night along a highway shaped like a

A car is traveling at night along a highway shaped like a parabola with its vertex at the origin (see the figure). The car starts at a point 100 m west and 100 m north of the origin and travels in an...

Q: Calculate y’. y = cot (csc x)

Calculate y’. y = cot (csc x)

Q: Calculate y’. y = ex sec x

Calculate y’. y = ex sec x

Q: Calculate y’. y = 3x ln x

Calculate y’. y = 3x ln x

Q: Calculate y’. y = sec (1 + x2)

Calculate y’. y = sec (1 + x2)

Q: Find y’’ by implicit differentiation. x3 - y3 = 7

Find y’’ by implicit differentiation. x3 - y3 = 7

Q: Calculate y’. y = (1 – x-1

Calculate y’. y = (1 – x-1)-1

Q: Calculate y’. sin (xy) = x2 - y

Calculate y’. sin (xy) = x2 - y

Q: Calculate y’. y = (cox x)x

Calculate y’. y = (cox x)x

Q: Calculate y’. y = x tan-1 (4x

Calculate y’. y = x tan-1 (4x)