Equations of the Tangent Line

Find the slope at x = 3 of the equation f(x) = 3x²

• 6x

• 27

• 18

• 3x

What is the slope of the tangent to the curve y = x² + x at x = 1?

• 2

• -1/2

• -1/3

• 3

What is the equation of the line tangent to the curve y = x² at x = 1?

• y = 2x + 1

• y = 2x - 1

• y = -2x + 1

• y = x - 1

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

Solve the question in the image

• a

• b

• c

• d

• e