Questions from General Calculus

Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = x sin-1 x + √1 – x2

Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = arctan √1-x/1+x

Q: Find the derivative of the function. Simplify where possible.

Find the derivative of the function. Simplify where possible. y = arccos (b + a cos x/a + b cos x), 0 < x < π, a > b > 0

Q: Find the exact value of each expression. (a).

Find the exact value of each expression. (a). arctan 1 (b). sin-1 (1/√2)

Q: Find the derivative of the function. Find the domains of the

Find the derivative of the function. Find the domains of the function and its derivative. f (x) = arcsin (ex)

Q: Find the derivative of the function. Find the domains of the

Find the derivative of the function. Find the domains of the function and its derivative. g (x) = c0s-1 (3 – 2x)

Q: The figure shows the graphs of four functions. One is the

The figure shows the graphs of four functions. One is the position function of a car, one is the velocity of the car, one is its acceleration, and one is its jerk. Identify each curve, and explain you...

Q: Find y' if tan-1 (xy) = 1 +

Find y' if tan-1 (xy) = 1 + x2y.

Q: If g (x) = x sin (x/4

If g (x) = x sin (x/4) + √16 – x2, find g'(2).

Q: Find an equation of the tangent line to the curve y =

Find an equation of the tangent line to the curve y = 3 arccos (x/2) at the point (1, π).