MACAPAGAL MATH Differential Calculus

• 4

• 6

• 8

• 16

• 4

• 6

• 8

• 16

• 2/5

• infinity

• 0

• 16

• 0

• 1/2

• 2

• -1/2

Evaluate Lim x sin(pi/x) as x approaches to infinity

• 1

• pi/2

• pi

• infinity

Find the derivative of the function 2x² + 8x + 9 with respect to x

• 4x - 8

• 2x + 9

• 2x + 8

• 4x + 8

Find the second derivative of the function y = 4x cubed + 2x + 1

• 2x

• x

• 30x

• 24x

If y = cos x, what is dy/dx?

• -sec x

• sec x

• sin x

• -sin x

If y = x (ln x), what is d²y/dx²?

• 1/x²

• -1/x

• 1/x

• -1/x²

if y = arctan (ln x), find y' when x = 1/e

• e/2

• e/3

• e

• e/4