Derivatives Lesson 1

Who is this father of Calculus and Motion?

What is d/dx [xⁿ] where n represents a constant.

What is the derivative of y if y = 5x³ + 7x - 9

What x values is the graph NOT differentiable?

What is the equation of the tangent line to y = 8x² - 5x + 2 when x = 1?

Also a father of Calculus and invented the first mass-produced mechanical calculator.

If f(x) is differentiable then

What is the limit as x approaches 2 from the left?

What is d/dx [c] where c represents a constant?

What is the slope of the tangent line to y = √(x³) when x = 4?

If f' (x)<0 then

What is d/dx [1/x]

What is the slope of f(x) = 5x¹² + 7x - 4 when x=1

What x values is the graph discontinuous?