2.1 n 2.2 maks n min

Find the gradient of a curve y= 3x² - 2 at the point ( 2 , 10 )

• y^' = 10

• y^' = 2

• y^' = 12

• y^' = 60

Calculate the derivative of the function y = 5x³ - 4x + 1 at the point (1, 2).

• y^' = 2

• y^' = 10

• y^' = 26

• y^' = 11

Determine the slope of the tangent line to the curve y = x² + 3x - 5 at the point (0, -5).

• y^' = 3

• y^' = 0

• y^' = -5

• y^' = 2

Find the derivative of the function y = 2x⁴ - 3x² + 7 at the point (2 , 1).

• y^' = 2

• y^' = 34

• y^' = 52

• y^' = 12

Find the equation of a tangent to a curve y = 4x³ + 5 at the point ( -1 , 1 )

• x + 12y -11 = 0

• y = 12x + 13

• x + 12y = 11

• y = 13x + 12

Find the gradient of the curve and gradient of normal for y = 3x² - 4x + 2 at the point (2, 6)

• m_n = 8

  m_t = - 1/8

• m_t = 1/8

  m_n = - 1/8

• m_t = 8

  m_n = - 1/8

• m_t = - 8

  m_n = 1/8

Find the turning points of the curves y = x² - 8x + 10 and determines whether it is a maximum or minimum point

• (x , y) = (4, -6)

  and minimum point

• (x , y) = (4, -4)

  and minimum point

• (x , y) = (4, -6)

  and maximum point

• (x , y) = (4, -4)

  and maximum point

A wire with length 4 meters is bent to form a rectangle with the maximum area. Find the measurement of its sides.

• x = 2 m

  y = 1 m

• x = 1 m

  y = 2 m

• x = 1/2 m

  y = 1/2 m

• x = 1 m

  y = 1 m