Questions from General Calculus

Q: Draw the graph of a function f (x) for which

Draw the graph of a function f (x) for which the function and its first derivative have the stated property for all x. f (x) increasing and f (x) decreasing

Q: The straight line in the figure is tangent to the parabola.

The straight line in the figure is tangent to the parabola. Find the value of b.

Q: Differentiate. f (x) = 12 + 1/

Differentiate. f (x) = 12 + 1/73

Q: Find the first derivatives. y = T5 - 4T4 +

Find the first derivatives. y = T5 - 4T4 + 3T2 - T - 1

Q: Find the first derivatives. x = 16t2 + 45t +

Find the first derivatives. x = 16t2 + 45t + 10

Q: Find d/dP (3P2 – 12P + 1).

Find d/dP (3P2 – 12P + 1).

Q: Find d/dP √(s2 + 1).

Find d/dP √(s2 + 1).

Q: Find d/dt (a2t2 + b2t + c2).

Find d/dt (a2t2 + b2t + c2).

Q: Find d/dP (T2 + 3P)3.

Find d/dP (T2 + 3P)3.

Q: Find the first and second derivatives. y = x +

Find the first and second derivatives. y = x + 1