Answer:
Step-by-step explanation:
We want to find the equation of the tangent line to the function:
At the point (-2, 6).
First, we will need the slope of the tangent line. So, differentiate* the function:
Find the slope when <em>x</em> = -2:
Now, we can use the point-slope form:
Our point is (-2, 6) and our slope is -11. Substitute:
Simplify:
Distribute:
And add six to both sides. Therefore, our equation is:
If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:
Here,<em> x</em> = -2. Substitute:
Substitute (we are given the point (-2, 6). So, f(-2) = 6).
Expand and simplify:
Distribute:
Simplify:
Evaluate the limit (using direct substitution):
The point-slope form:
We have m = 2 and the point (1, 9).
Substitute:
Answer:
15 and 5
Step-by-step explanation:
<u>15</u>:25::3:<u>5</u>
so, extreme are the terms which the underlined