Tangent and normal equation of a curve

The gradient of f(x)=3x²+2x+5 at x=0.5 equals

• 6.75

• 5

• 3

• 7

Determine the equation of the normal to the curve y=6x +8/x at the point B(1,14). Write your answer in the form ax + by + c = 0.

• 2x + y -16 = 0

• x + 2y + 29 =0

• x - 2y + 27 = 0

• 2x - y - 16 = 0

Determine the equation of the tangent to f(x)=3x² when x=1

• y=6x+3

• y=6x

• y=6x-3

• y=6x-17

Determine the equation to the normal of xy=-4 at (-1,4)

• y=(-1/4)x+(17/4)

• y=(-1/4)x

• y=(1/4)x+(17/4)

• y=(-1/4)x+(15/4)

Determine the point where the gradient of the tangent to the curve f(x)=1-3x² equals 5

• (5/6 , -13/12)

• (-5/6 , -13/12)

• (5 , -74)

• (-5/6 , 37/12)

Find the normal equation of the curve y=- x²+ 3x³-15 at the point (2,5)

• y=32x-59

• y=0.0313x -4.97

• y=32x + 68

• y=-0.0313x + 5.06

y=12/x. Find the normal at the point P(-4,-3). Write your answer in the form ax+by+c=0

• 3x + 4y + 24 = 0

• 3x - 4y = 0

• 4x- 3y + 7 = 0

• 4x - 3y + 9 = 0

y=12/x. Find the tangent line equation at the point P(-4,-3). Write your answer in the form ax+by+c=0

• 3x + 4y + 24 = 0

• 3x - 4y = 0

• 4x- 3y + 7 = 0

• 4x - 3y + 9 = 0

Find the tangent line of f(x)=(3/2)x²+ x at the point P(-2,4)

• y= -5x -14

• y= -5x - 6

• y= 0.2x -6

• y = 0.2x -14

Find the normal line of f(x)=(3/2)x²+ x at the point P(-2,4)

• y= -5x -14

• y= -5x - 6

• y= 0.2x -6

• y = 0.2x + 4.4