Answer:
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Step-by-step explanation:
y = (x^2 - 3)^sinx
ln y = ln (x^2 - 3)^sinx
ln y = sin x * ln (x^2 - 3)
1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x
1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)
dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Answer:D
Step-by-step explanation:
Answer: The vertex is the minimum value
The function is increasing when x<1
The function is decreasing when x>1
The domain of the function is all real numbers
The range of the function is all numbers less than it equal to 0
Step-by-step explanation:
Answer:
the carpenter lost 500
Step-by-step explanation:
if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500
To find the surface area of the figure , we need to add the surface area of all the faces
So the surface area of figure = Area of two lateral rectangular faces + Area of two triangular faces + area of base
hence
Surface Area of figure = 2(10*15) + 2( 1/2 * 8 * 12) + (12*15)
= 300 + 96 + 180
= 576 square feet
So correct option is the last one
