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
The maximum value is 625
EXPLANATION
The height of the stick that the bird dropped is modeled by the function;
This function is already in the vertex form.
Let me rewrite it clearly for you to see.
When we compare this to;
we have h=0 and k=625.
k=625 is the y-value of the vertex.
This is the maximum value on the graph of this function.
Answer:
Step-by-step explanation:
Your answer is 6
Work from the left to right.
add 1/4 and 1/2 which would give you 3/4
then subtract 3/4 from both sides of the equal sign witch would give you
x=-3/2
