calculus chapter 3 derivatives. 3.1 informal definition of derivative
TRANSCRIPT
3.1 Informal definition of derivative
A derivative is a formula for the rate at which a function changes.
The slope of the secant line gives the change between 2 distinct points on a
curve.
i.e. average rate of change
The slope of the tangent line gives the rate of change at that one point
i.e. the instantaneous change.
A function has a derivative at a point
iff the function’s right-hand and left-hand derivatives exist and are equal.
3.3 Differentiation Rules
1. Derivative of a constant
2. Power Rule for derivatives
3. Derivative of a constant multiple
3.3 Differentiation Rules
1. Derivative of a constant
2. Power Rule for derivatives
3. Derivative of a constant multiple
4. Sum and difference rules
3.3 Differentiation Rules
1. Derivative of a constant
2. Power Rule for derivatives
3. Derivative of a constant multiple
4. Sum and difference rules
5. Higher order derivatives
3.3 Differentiation Rules
1. Derivative of a constant
2. Power Rule for derivatives
3. Derivative of a constant multiple
4. Sum and difference rules
5. Higher order derivatives
6. Product rule
3.3 Differentiation Rules
1. Derivative of a constant
2. Power Rule for derivatives
3. Derivative of a constant multiple
4. Sum and difference rules
5. Higher order derivatives
6. Product rule
7. Quotient rule
3.3 Differentiation Rules
1. Derivative of a constant
2. Power Rule for derivatives
3. Derivative of a constant multiple
4. Sum and difference rules
5. Higher order derivatives
6. Product rule
7. Quotient rule
8. Negative integer power rule
3.3 Differentiation Rules
1. Derivative of a constant2. Power Rule for derivatives3. Derivative of a constant multiple4. Sum and difference rules5. Higher order derivatives6. Product rule7. Quotient rule8. Negative integer power rule9. Rational power rule
TEST 3.1-3.5 Formal def derivative Rules for derivatives Notation for derivatives Increasing/decreasing Eq of tangent line Position, vel, acc Graph of fct and der Anything else mentioned,
assigned or results of these