![]() ![]() ![]() When taking the derivative of any term that has a “y” in it multiply the term by y 0 (or dy/dx) 3. Differentiate both sides of the equation with respect to “x” 2. Examples of implicit functions: ln(y) = x2, x3 y 2 = 5, 6xy = 6x 2y 2, etc. ![]() Same idea for all other inverse trig functions Implicit Differentiation Use whenever you need to take the derivative of a function that is implicitly defined (not solved for y). Same idea for all other trig functions 10. These rules are all generalizations of the above rules using the chain rule. Chain Rule: (f (g(x))0 = f 0 (g(x))g 0 (x) Common Derivatives Trigonometric Functions d (sin x) = cos x dx d (cos x) = − sin x dx d (tan x) = sec2 x dx d (sec x) = sec x tan x dx d (csc x) = − csc x cot x dx d (cot x) = − csc2 x dx Inverse Trigonometric Functions d 1 (sin−1 x) = √ dx 1 − x2 d 1 (cos−1 x) = − √ dx 1 − x2 d 1 (tan−1 x) = dx 1 x2 Exponential
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |