Calculus Flashcards
What is the relationship between continuity and differentiability?
Differentiability implies continuity, but NOT vice versa.
This DOES NOT mean that if f is continuous at x=c then f is differentiable at x=c.
What are the three conditions under which a function cannot be differentiable?
For derivatives, what is the Power Rule?
For derivatives, what is the Constant Rule?
For derivatives, what is the Constant Multiple Rule?
For derivatives, what is the Sum Rule?
The Difference Rule works simliarly. The derivative of a difference is equal to the difference of the individual derivatives.
What is the derivative of the Sine function?
What is the derivative of the Cosine function?
What is the derivative of the constant ‘e’ raised to the power of ‘x’ ?
What is the derivative of the natural log of ‘x’ ?
For derivatives, what is the Product Rule?
For derivatives, what is the Quotient Rule?
What is the derivative of the Tangent function?
What is the derivative of the Cotangent function?
What is the derivative of the Cosecant function?
What is the derivative of the Secant function?
In Calculus, what is the Chain Rule?
What is the derivative of:
What is the derivative of the Common Logarithm?
The Common Logarithm is a logarithm with a base of 10.
What’s the relationship between the derivative of the inverse of a function and the original function?
What is the derivative of the Inverse Sine function?
What is the derivative of the Inverse Cosine function?
What is the derivative of the Inverse Tangent function?
