Danselle

Notes taken on the topic of maximum and minimum values as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions, tips, and formulas to find the absolute and local maximum and minimum values for a function. There are then multiple examples describing and showing these processes. Finally, the notes have a definition of the extreme value theorem and examples showing this as well.

Notes taken on the topic of the mean value theorem as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions and explanations of the mean value theorem as well as Rolle's theorem. They then go into detail and provide multiple examples and work for each theorem.

Notes taken on the topic of derivatives and shapes of curves as taught by Amy Austin in MATH 151 at TAMU. These notes contain shortcuts and examples to describe the motion of curves as they relate to their derivatives and double derivatives.

Notes taken on the topic of L'Hopital's rule as taught by Amy Austin in MATH 151 at TAMU. These notes contain numerous examples of how and when to use L'Hopital's Rule in many circumstances such as all of the indeterminate forms including products, differences, and powers.

Notes written on the topic of inverse trigonometric functions as taught by Amy Austin in MATH 151 at TAMU. These notes contain definitions, properties, and examples of the inverse trigonometric functions.

Notes written on the topic of continuity as taught by Amy Austin in MATH 151 at TAMU. These notes contain the definition of continuity and various examples of how to find the continuity of a function. The intermediate value theorem is also present, all summing to provide a basis of terms and understandings for derivatives.

Notes written on the topic of tangents, velocities, and other rates of change as taught by Amy Austin in MATH 151 at TAMU. These notes contain examples and definitions of tangents, velocities, and other rates of change as a precursor to the introduction of derivatives.

Notes written on the topic of explaining derivatives as a function as taught by Amy Austin in MATH 151 at TAMU. These notes contain the definition and interpretations of derivatives as explained in their basic terms, including the formula for a derivative described as a limit and other examples.

Notes written on the topic of product and quotient rules as taught by Amy Austin in MATH 151 at TAMU. These notes contain multiple examples of the product and quotient rules for derivatives.

Notes written on the topic of derivatives of trig functions as taught by Amy Austin in MATH 151 at TAMU. These notes contain formulas, examples, and work for the derivatives of trigonometric functions.