Step-by-step explanation:
you need to substitute the value of f(x)
Answer:
Step-by-step explanation:
We will first find the derivative of the function to get the formula for the slope of the tangent. Using implicit differentiation, we find that:
and
Solving for the derivative and at the same time simplifying within the parenthesis:
so
![\frac{dy}{dx}=\frac{-2x^3}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7B-2x%5E3%7D%7By%7D)
If our tangent line is vetical, that means that the slope is undefined. Our slope is undefined where y = 0. Therefore, we need to find x when y = 0 in our original equation. If y = 0, then
becomes
and
![0 = x^4](https://tex.z-dn.net/?f=0%20%3D%20x%5E4)
That means that x = 0 (we divide away the negative on the x, and since 0 isn't negative or positive, we get that x^4 = 0)
That means that the point at which the tangent is vertical is (0, 0)
There are 72 tens in 720.
Answer:
![x = -1](https://tex.z-dn.net/?f=x%20%3D%20-1)
Step-by-step explanation:
Equation: ![1+10x+13=4](https://tex.z-dn.net/?f=1%2B10x%2B13%3D4)
Step 1: Balance both parts of the equation.
![1+10x+13=4](https://tex.z-dn.net/?f=1%2B10x%2B13%3D4)
![(10x)+(1+13)=4](https://tex.z-dn.net/?f=%2810x%29%2B%281%2B13%29%3D4)
![10x+14=4](https://tex.z-dn.net/?f=10x%2B14%3D4)
![10x+14=4](https://tex.z-dn.net/?f=10x%2B14%3D4)
Step 2: Reduce 14 from both parts of the equation.
![10x+14-14=4-14](https://tex.z-dn.net/?f=10x%2B14-14%3D4-14)
![10x= -10](https://tex.z-dn.net/?f=10x%3D%20-10)
Step 3: Split both sides by 10, because
.
![\frac{10x}{10} = \frac{-10}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10x%7D%7B10%7D%20%3D%20%5Cfrac%7B-10%7D%7B10%7D)
![10 / -10 = -1](https://tex.z-dn.net/?f=10%20%2F%20-10%20%3D%20-1)
Therefore, x = -1.