THUYẾT TRÌNH ĐẠO HÀM BẰNG TIẾNG ANH DERIVATIVES

VDERIVATIVESE Instructors : … Presentation group 4: … Want big ISAAC NEWTON impact? and USE BIG IMAGE GOTTFRIED LEIBINZ were scientist who invented derivatives, integrals and differentials DERIVATIVE THE SECOND DERIVATIVE OF AT A POINT DERIVATIVE SUM, DIFFERENCE, DERIVATIVES DERIVATIV PRODUCT AND OF SOME ES QUOTIENT COMMON DERIVATIVE OF DERIVATIVE OF FUNCTIONS A TRIGONOMETRIC A COMPOSSITE FUNCTION FUNCTION I Definition of a derivative at a point Definition ▹ Given function defined on the open Derivative : đạo hàm interval (a;b) and Defined: xác định  If there exists (finite) limit Interval: khoảng  Then the limit is called a derivative Exists: tồn Finite: hữu hạn of a function Point: điểm at point and denoted by or namely, Namely: tức  Quantity “N▹OTE  Quantity is called the increment of argument at is called the corresponding increment of the function Thus, Quantity: đại lượng Corresponding increment: số gia tương ứng Increment: số gia Thus: Argument: đối số How to calculate a derivative by definition ▹ Rule: ▹ Step 1: Let be the increment of an argument at Calculate: ▹ Step 2: Form ratio ⊷ Step 3: Find Calculate: tính Form: lập Ratio: tỉ số, tỉ lệ Example Calculate the derivative of function at point S▹olution: Let be the increment of an argument at We have: divided by x, we shall show: Then, Therefore, Example Calculate the derivative of function at point S▹olution: Let be the increment of an argument at We have: divided by x, we shall show: Then, Therefore, II Derivativers of some common functions Theorem 1: Function has a derivative at every and Theorem 2: Function has a derivative at every positive x and Theorem: định lí Example Find the dervative of function ▹ Remax a) a) Derivative of a constant function equals b) b) Derivative of function y = x equals Remax: nhận xét Constant function: hàm 10 ... scientist who invented derivatives, integrals and differentials DERIVATIVE THE SECOND DERIVATIVE OF AT A POINT DERIVATIVE SUM, DIFFERENCE, DERIVATIVES DERIVATIV PRODUCT... derivative at a point Definition ▹ Given function defined on the open Derivative : đạo hàm interval (a;b) and Defined: xác định  If there exists (finite) limit Interval: khoảng... nhận xét Constant function: hàm 10 III Derivative of sum, difference, product and quotient Theorem Theorem 3: Suppose u = u(x) and v = v(x) are functions with derivatives at point x on the