First we use product rule
y=x^2lnx
dy/dx = x^2 d/dx (lnx) + lnx d/dx (x^2)
dy/dx = x^2 (1/x) + lnx (2x)
dy/dx = x + 2xlnx
now taking second derivative:
d2y/dx2 = 1 + 2[x (1/x) + lnx (1)]
d2y/dx2 = 1 + 2[1+lnx]
1+2+2lnx
3+2lnx is the answer
The number of pencils is directly proportional to the cost. ... Two values x and y are inversely proportional to each other when their product xy is a constant (always remains the same). This means that whenx increases y will decrease, and vice versa, by an amount such that xyremains the same.
Y = mx + b, where m = slope = rise/run and b, the y intercept value
m = 1/1 = 1, then y = x + b.
We notice that y intercept is = - 1
And the equation is:
y = x - 1
Answer:
A
Step-by-step explanation:
Sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total area by 8 to find the value of one part of the ratio.
1624 ÷ 8 = 203 cm² ← value of 1 part of ratio, thus
Area of B = 3 × 203 = 609 cm² → A
Answer:
i think its 105
Step-by-step explanation: