About Lesson
13.3 Differentiation Formulas 微分法则
[1]
Find the derivative for each of the following functions
求下列各函数的导数
(a) y =
(b) f (x) =
(c) y =
(d) y =
(e) y =
(f) f (x) = (2x + 1)(x – 3)
(g) f (x) =
(h) y =
(i)
(j)
(k)
(l)
(m)
(n)
Answer 答案:
(a) dy/dx=10x – 4
(b) f ‘(x) = 12x + 12x + 2
(c) dy/dx=12x – 14x + 3
(d) dy/dx= 20x + 3x
(e) dy/dx= –4x + 4
(f) f ‘(x) = 4x – 5
(g) f ‘ (x) = 18x – 12
(h) dy/dx=1+
(i) dy/dx= 50x
(j) f ‘ (x)=
(k) f ‘ (x)=
(l) dy/dx=
(m) dy/dx=
(n) dy/dx=
[2]
Use the product formula to differentiate the following statements.
用积公式微分下列各式
(a)
(b)
(c)
(d)
Answer 答案:
(a)
(b)
(c)
(d)
[3]
Use the quotient formula to differentiate the following statements.
用商公式微分下列各式
(a)
(b)
(c)
(d)
Answer 答案:
(a)
(b)
(c)
(d)