![]() Step 3: Take the two derivatives of the equation from Step 2:į′ = x -3 (-9x -4) + (-3x -4) (17 + 3x -3). Step 2: Rewrite the equation: Multiply f by the derivative of g, added to the derivative of f multiplied by g.į′ = x -3 D (17 + 3x -3) + D(x -3) (17 + 3x -3). Step 1: Name the functions so that the first function is “f” and the second function is “g.” In this example, we have: Step 4: Use algebra to multiply out and neaten up your answer: Step 3: Take the derivative of the two functions identified in the equation you wrote in Step 2. The tick marks mean “derivative” but we’ll use “D” instead. Step 2: Rewrite the functions: multiply the first function f by the derivative of the second function g and then write the derivative of the first function f multiplied by the second function, g. Step 1: Label the first function “f” and the second function “g”. That’s it! If you differentiate y=x 3 ln 3, the answer is y’= x 2 + 3x 2 ln x.īack to Top Product Rule Example 2: y = (x 3 + 7x – 7)(5x + 2) This step is optional, but it keeps things neat and tidy. Step 4: Use algebra to simplify the result. Leave the two other functions in the sequence alone. Step 3: Take the derivative of the two functions in the equation you wrote in Step 2. You don’t need to actually differentiate at this point: just rewrite the equation. Multiply f by the derivative of g, then add the derivative of f multiplied by g. Step 2: Rewrite the equation using the new function names f and g you started using in Step 1: call the first function “f” and the second “g”). Step 1: Name the first function “f” and the second function “g.” Go in order (i.e. The derivative of x 3 is 3x 2, but when x 3 is multiplied by another function-in this case a natural log (ln x), the process gets a little more complicated.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |