Differentiation
What is a derivative?
A derivative is the rate of change of a function at a specific point.
What is the formula for average ROC?
(y2-y1)/(x2-x1)
What is the derivative of tan(x)?
sec^2(x)
What does △ represent when dealing with derivatives?
△ represents the change in a variable
A line is tangent to a curve at a point if it has...
A line is tangent to a curve at a point if it has the same ROC as that point
Write out the chain rule
d/dx (f(g(x)) = f'(g(x)) · g'(x)
The derivative of a constant is always...
The derivative of a constant is always 0
Take the derivative of 1/x
-1/x^2
A function is only differentiable if it is...
A function is only differentiable if it is continuous.
What is the derivative of arcsin(x)?
1/squareroot(1-x^2)
How is are derivatives represented by symbols in calculus?
d/dx