Math & Biostatistics Past Paper PDF - University of Anbar

‫وزارة التعلين العالي والبحث العلوي‬ ‫جاهعت االنبار‬ ‫كليت الصيدلت‬ ‫الورحلت األولى‬ ‫الوحاضرة الثالثت‬ ‫هادة الرياضياث‬ ‫‪Math & Biostatistics‬‬...

‫وزارة التعلين العالي والبحث العلوي‬ ‫جاهعت االنبار‬ ‫كليت الصيدلت‬ ‫الورحلت األولى‬ ‫الوحاضرة الثالثت‬ ‫هادة الرياضياث‬ ‫‪Math & Biostatistics‬‬ ‫أستاذة الوادة‬ ‫م‪.‬م‪.‬كوثر عبدالوجيد احود العاني‬ ‫‪2023‬م‬ ‫‪1444‬ه‬  Differentiation - If the function and the point , Lies on the line, the slope of the tan gent pass through the function in this point it is: Where the it is represent to derivative of a function that can be used to find the equation of the tangent line. Example: Find by using the definition of the derivative of the following function? 1) Solution: 2) Sol : ( ) 1  3) √ √ √ √ √ √ √ √ √ √ √ √ √ √ Rules of derivatives:- Let and are constants, 1) [ ] 2) [ ] 3) [ ] [ ] 4) [ ] 5) [ ] [ ] [ ] [ ] [ ] 6) * + [ ]  Find for the following functions: 1) ( ) 2) 2  Derivatives (Higher derivatives ) - The derivative of the function is the function whose value at each is define by rule and can found * + Example: Find 1) Sol 2) Find of the function Sol: x+2 3  Chain rule - Let where is it is two function are different able Suen that [ ] First low of the chain rule Example: use the chain rule to express the in terms of and 1) and Sol: 2) and √ ( ) ( ) √ √ √ ( ) √ second low of the chain rule 4 5  1) By used the chain rule find if you know the value of and Solution: ( ) Problem's/ by use the chain rule find 1) and 2) and √ 3) Find the third derivative of the following function √ 4) Find the second derivative for the following Furet ( ) 6  Implicit Differentiation - If the formula for is an algebraic combination of of and  To calculate the derivatives of the simplicity defined function, we simply differentiate both sides of the defining equation will respect to √ Example: Find for the following functions: 1) ( ) 2) Find to the function Sol: ( ) ( ) ( ) 3) 4) [H.W] 7 8 9