Answer:
28
Step-by-step explanation:
To find the derivative of the given function y = [x + (x + sin^2 (x))^4]^6, we use the Chain Rule (f(u(x))´ = f´(u(x))·u´(x):
dy/dx = 6[x + (x+sin^2 (x))^4]^6-1 ⋅d/dx [(x + sin^2 (x))^4]
where we first differentiate the outermost function which is a sixth degree. In our given function, the outermost function is a sixth degree, then a fourth degree and finally a quadratic.
We differentiate each function and multiply them together:
dy/dx = 6[x + (x+sin^2 (x))^4]^5 ⋅(1 + 4(x + sin^2 (x))^(4-1)) ⋅d/dx (x + sin^2 x)
dy/dx = 6[x + (x+sin^2 (x))^4]^5 ⋅(1 + 4(x + sin^2 (x))^3) ⋅(1 + 2sinxcosx)
Since weknow that sin2x = 2sinxcosx,
dy/dx = 6[x + (x+sin^2 (x))^4]^5 ⋅(1 + 4(x + sin^2 (x))^3) ⋅(1 + sin2x)
Answer:
4+5=9
Step-by-step explanation:
a2+b=9
Two negatives equal a positive you multiply 2, 2 times because of the power 2.
Answer:
70
Step-by-step explanation:
7 and 10 = 70, This is the correct answer because 7 times 10 equals 70, and 10 times 7 equals 70 too, so 70 is the LCD
7 and 10 = 1, This is impossible because anything multiplied by 7 naturally does not get 1 as a answer, including 10 too. X
7 and 10 = 10, Only 10 times 1 equals 10, but 7 a natural whole number does not equal 10. X
7 and 10 = 35, Only 7 times 5 equals 35, but 10 times a whole number does not equal 35. X