Questions from General Calculus

Q: Draw a diagram to show that there are two tangent lines to

Draw a diagram to show that there are two tangent lines to the parabola y = x2 that pass through the point (0, -4). Find the coordinates of the points where these tangent lines intersect the parabola....

Q: Calculate y'. y = cos (e√tan 3x

Calculate y'. y = cos (e√tan 3x)

Q: Calculate y'. y = sin2 (cos √sin πx

Calculate y'. y = sin2 (cos √sin πx)

Q: If f (t) = √4t + 1, find

If f (t) = √4t + 1, find f"(2).

Q: If g (θ) = θ sin θ, find g

If g (θ) = θ sin θ, find g"(π/6).

Q: If f (x) = 2x, find f(n

If f (x) = 2x, find f(n)(x).

Q: Find y" if x6 + y6 = 1.

Find y" if x6 + y6 = 1.

Q: Find an equation of the tangent to the curve at the given

Find an equation of the tangent to the curve at the given point. y = 4 sin2x, (π/6, 1)

Q: Find an equation of the tangent to the curve at the given

Find an equation of the tangent to the curve at the given point. y = x2 - 1/x2 + 1, (0, -1)

Q: Find an equation of the tangent to the curve at the given

Find an equation of the tangent to the curve at the given point. x = ln t, y = t2 + 1, (0, 2)