Find the extreme point and the list of extreme value requirements of the cubic - 3x square - 12x + 25 of the curve y = 2x

Find the extreme point and the list of extreme value requirements of the cubic - 3x square - 12x + 25 of the curve y = 2x

y=2x^3-3x^2-12x+25
y'=6x^2-6x-12=6(x^2-x-2)
Let y '= 0
x^2-x-2=0
X = - 1 or x = 2
List: X
How to find the greatest common factor and the least common multiple of 20,24,36
20=2X2X5
24=2X2X2X3
36=2X2X3X3
The greatest common factor is 2x2 = 4 and the least common multiple is 2x2x2x5 = 360
The least common multiple of 20, 24 and 36 is 360 and the greatest common factor is 4
WOW!!! What grade are you in? Five years
Finding the extremum of the curve y = 1 / 4x Λ 4 + 1 / 3x Λ 3-1 / 2x Λ 2-x + 1
y'=x^3+x^2-x-1=x^2(x+1)-(x+1)=(x+1)^2(x-1)
Let y '= 0 give x = - 1,1
When x is on the left and right sides of - 1, the sign of Y 'will not change, but it will change (decrease first and then increase) at 1, so x = - 1 is not the extreme point, x = 1 is the minimum point
The factor of 24 is______ The factor of 36 is______ The greatest common factor of. 24 and 36 is______ The least common multiple is______ .
(1) The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24, the factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36, (2) 24 = 2 × 2 × 2 × 3, 36 = 2 × 2 × 3 × 3, so the greatest common factor of 24 and 36 is: 2 × 2 × 3 = 12, the least common multiple is: 2 × 2 × 3 × 2 × 3 = 72
Finding the tangent equation of the curve y = xlnx + 3 parallel to the straight line y = x + 6
Tangent equation of curve y = xlnx + 3 parallel to line y = x + 6
Namely
Slope = 1
y‘=lnx＋1=1
lnx=0
X=1
therefore
The tangent point is x = 1, y = 3
The tangent equation is
y-3=x-1
Namely
x-y＋2=0
The greatest common divisor of 16, 24 and 60 is () and the least common multiple is ()
The greatest common divisor is (4), and the least common multiple is (1440)
Seeking the derivative of mathematical function: y = (3x + 5) ^ 4
Using the chain rule
y'=[4(3x+5)^3]*3=12(3x+5)^3
Derivative of compound function
=4（3x+5）^3 *3
=12（3x+5)^3
The greatest common divisor of two numbers is 12, the least common multiple is 180, and the large number is not a multiple of a decimal
36 and 60, fhgckgcgkugcvkgjvckjh
The derivative of the function y = SIN3 (3x + π 4) is ()
A. 3sin2(3x+π4)cos(3x+π4)B. 9sin2(3x+π4)cos(3x+π4)C. 9sin2(3x+π4)D. −9sin2(3x+π4)cos(3x+π4)
∵ function y = SIN3 (3x + π 4), ∵ y ′ = 3sin2 (3x + π 4) cos (3x + π 4) × 3 = 9sin2 (3x + π 4) cos (3x + π 4), so B
The greatest common factor of the two numbers is 15, the least common multiple is 180, and the large number is not a multiple of the decimal, the two numbers are______ .
Because 180 △ 15 = 12, the unique product of prime factors of two numbers is 12, 12 = 1 × 12 = 3 × 4, and because large numbers are not multiples of decimals, they can not be 1 and 12. These two numbers can only be: 15 × 3 = 45, 15 × 4 = 60; so the answer is: 45 and 60