Answer:
Step-by-step explanation:
Given the function
y = (9x⁴ — 4x² + 6)⁴
We need to find the derivative of y with respect to x i.e. dy/dx.
So let u = 9x⁴—4x² + 6
Then y = u²,
Then, y is a function of u, y=f(u)
Also, u is a function of x, u = g(x)
In this case,
u = g(x) = 9x⁴—4x² + 6
So let differentiate this function y(x).
This is a function of a function
Then, we need to find u'(x)
u (x) = 9x⁴—4x² + 6
Then, u'(x) = 36x³ — 8x
Also we need to find y'(u)
Then, y = u²
y'(u) = 2u
Using function of a function formula
dy / dx = dy/du × du/dx
y'(x) = y'(u) × u'(x)
y'(x) = 2u × 36x³ — 8x
y'(x) = 2u(36x³ — 8x)
Since, u = 9x⁴—4x² + 6
Therefore,
y'(t) = 2(9x⁴—4x² + 6)(36x³ — 8x)
So,
dy/dx = 2(9x⁴—4x² + 6)(36x³ — 8x)
dy/dx = (18x⁴—8x² + 12)(36x³ — 8x)
Answer:
65 i think
Step-by-step explanation:
Answer: Adrian will need to fix 25 bikes to reach a break even point.
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
Beyonce gets 9 cans worth, Michelle drinks 10 cans worth of soft drink and kelly receives 5 cans worth.
Dozen = 12 so 2 dozens = 12x2=24
3/8 = 9/24 because 8x3=24 & 3x3=9
5/12 =10/24 because 12x2=24 & 5x2=10
5/24 is fine because it is already out of 24
