Equation of Tangent Line at Given Point

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

• m = 0

• f'(x) = -6x - 6

• f'(x) = 6x

• m = -12

Derivative means the same thing as

• slope of the tangent line

• slope of the normal line

• exponent

• slope of the secant line

Write the equation of the tangent line of the given equation through the point.

• y+2=9(x-3)

• y - 2 = 9(x-3)

• y - 2 = 3(x -3)

• y-2 = 9(x+3)

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Derivative means the same thing as

• slope of the tangent line

• slope of the normal line

• slope of the secant line

• the function’s value

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

• 6x

• 27

• 18

• 3x

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

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