Questions from General Calculus

Q: Find f ‘ in terms of g’. f(x

Find f ‘ in terms of g’. f(x) = g(x2)

Q: Find the points on the lemniscate in Exercise 31 where the tangent

Find the points on the lemniscate in Exercise 31 where the tangent is horizontal. Data from Exercise 31: Use implicit differentiation to find an equation of the tangent line to the curve at the given...

Q: Find f ‘ in terms of g’. f(x

Find f ‘ in terms of g’. f(x) = [g(x)]2

Q: Find f ‘ in terms of g’. f(x

Find f ‘ in terms of g’. f(x) = g(g(x)

Q: Find f ‘ in terms of g’. f(x

Find f ‘ in terms of g’. f(x) = g(ex)

Q: Find f ‘ in terms of g’. f(x

Find f ‘ in terms of g’. f(x) = eg(x)

Q: Find f ‘ in terms of g’. f(x

Find f ‘ in terms of g’. f(x) = g(ln x)

Q: The figure shows a rotating wheel with radius 40 cm and a

The figure shows a rotating wheel with radius 40 cm and a connecting rod AP with length 1.2 m. The pin P slides back and forth along the x-axis as the wheel rotates counterclockwise at a rate of 360 r...

Q: Find h’ in terms of f ’ and g’. h

Find h’ in terms of f ’ and g’. h(x) = f (g(sin 4x))

Q: (a) Graph the function f (x) = x

(a) Graph the function f (x) = x - 2 sin x in the viewing rectangle [0, 8] by [-2, 8]. (b) On which interval is the average rate of change larger: [1, 2] or [2, 3]? (c) At which value of x is the inst...