Differentiating Function Equation

Find the derivative of:
f(x) = (x² +1)⁶

• 12(x² + 1)⁶

• 12x(x² + 1)⁶

• 12x(x² + 1)⁵

• 12(x² + 1)⁵

Differentiate f(x) = (9 - 4x²)^-1

• 8x/(9 - 4x²)^-2

• 8x/(9 - 4x²)²

• -8x/(9 - 4x²)^-2

• -8x(9 - 4x²)²

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400

• y = 100x + 400

• y = -500 x - 400

• y = 500x - 400

When do you use the chain rule?

• anytime you want

• when there is a function in a function

• where there are multiple layers to a lasagna (yum)

• when there is division

Find the derivative of the given equation
f(x) = 7

• 7

• 0

• 7x

• 14

• 3/x

• 1/x

• x/3

• 1/3x

This formula is used for which of the following?

• instantaneous rate of change

• slope of a secant line equation

• average rate of change

• average velocity formula

A method for finding the derivative of an explicitly defined function or relation in which the dependent variable is isolated on one side of the equation

• Implicit Equation

• Explicit Equation

• Explicit Differentiation

• Implicit Differentiation