Tangent and Normal

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

• 6.75

• 5

• 3

• 7

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 point on the curve f(x)=(2x-1)² where the tangent is parallel to the line y=4x-2

• (0 , 1)

• (1 , 9)

• (1/2 , 0)

• (1 , 1)

Find the derivative of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 4x+3

Differentiate 6x^⅔.

• 4x^-⅓
• 4x^-⅔
• 6x^⅓
• 4x^⅓

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0

• f'(x) = -6x + 6

• f'(x) = 6x

• m = -12

• 1

• 3

• 4

• 9

• 6

• 2

• 1