The tangent slope of F (x) = ln (2-x) + ax at point (0, f (0)) is 1 / 2 (1) to find the extreme value of F (x) (2) Let g (x) = f (x) + KX, if G (x) is an increasing function on (- ∞, 1), the value range of real number k is obtained

The tangent slope of F (x) = ln (2-x) + ax at point (0, f (0)) is 1 / 2 (1) to find the extreme value of F (x) (2) Let g (x) = f (x) + KX, if G (x) is an increasing function on (- ∞, 1), the value range of real number k is obtained

When x = 0, the derivative is 1 / 2, and a = 1
Let the derivative be equal to 0, take the maximum value when x = 1, f (x) = 1
2. If G (x) is derived, G '(x) = 1 / (X-2) + K + 1, so that G (x) > 0, the range of K (0, infinity) is obtained

The tangent slope of F (x) = ln (2-x) + ax at points f (0, f (0) is 1 / 2
(1) Finding the extreme value of F (x)
(2) Let g (x) = f (x) + KX, if G (x) is an increasing function on (- infinity, 1), find the value range of real number K

When x = 0, the derivative is 1 / 2, and a = 1
Let the derivative be equal to 0, take the maximum value when x = 1, f (x) = 1
2. If G (x) is derived, G '(x) = 1 / (X-2) + K + 1, so that G (x) > 0, the range of K (0, infinity) is obtained

The slope of the tangent of the curve y = ln x at point (E, 1) is ()

The derivative of the original function is (1 / x). Because the point (E, 1) is on the curve, the slope k = 1 / E can be obtained by substituting x = e (1 / x)

How to calculate 2.5 × (1.1 + 1.1 + 1.1 + 11)

2.5×（1.1+1.1+1.1+11）
=2.5×4×1.1
=10×1.1
=11

Simple calculation of 3.8 * 5.6 + 4.4 * 3.8

Put forward 3.8:
＝3.8*（5.6+4.4）
＝3.8*10
＝38

Simple calculation: 6.5 * 8 + 3.5 * 8 + 4.4

6.5*8+3.5*8+4.4
=8*(6.5+3.5)+4.4
=8*10+4.4
=80+4.4
=84.4

How to calculate [4 - (3 / 4-3 / 8)] * 6 * 4 / 29

[4-(3/4-3/8)]*6*4/29
=[4-(6/8-3/8)]*6*4/29
=[4-3/8]*6*4/29
=29/8*6*4/29
=3

(those who can be simplified should be simplified) (4.8-3.6) * 0.5 + 0.4

(4.8-3.6)*0.5+0.4
=1.2*0.5+0.4
=0.6+0.4
=1

How to calculate 2 / 7 △ 0.25 + 5 / 7 × 1 / 4?

1, change 0.25 to 1 / 4 first
2. The plus sign is 8 / 4 on the left and 5 / 28 on the right. Change the 8 / 4 on the left to 56 / 28
3 and add it up to 61 / 28

Simple calculation of 3 / 7 * 1 / 4 + 25% * 2 / 7

Original formula = 3 / 7 * 1 / 4 + 1 / 4 * 2 / 7
=1/4（3/7+2/7）
=1/4*5/7
=5/28