Questions from General Calculus

Q: Calculate y’. y = ecos x + cos (ex

Calculate y’. y = ecos x + cos (ex)

Q: If xy + ey = e, find the value of y’’

If xy + ey = e, find the value of y’’ at the point where x = 0.

Q: Calculate y’. y = 10tan πθ

Calculate y’. y = 10tan πθ

Q: Calculate y’. y = cot (3x2 + 5)

Calculate y’. y = cot (3x2 + 5)

Q: Calculate y’. y = tan2 (sin θ)

Calculate y’. y = tan2 (sin θ)

Q: Calculate y’. xey = y - 1

Calculate y’. xey = y - 1

Q: The figure shows a circle with radius 1 inscribed in the parabola

The figure shows a circle with radius 1 inscribed in the parabola y = x2. Find the center of the circle.

Q: If x2 + xy + y3 = 1, find the value

If x2 + xy + y3 = 1, find the value of y’’’ at the point where x − 1.

Q: Calculate y’. y = x sinh (x2)

Calculate y’. y = x sinh (x2)

Q: Calculate y’. y = (sin mx) / x

Calculate y’. y = (sin mx) / x