Answer:
the equation of the line is 7x + y = 0 .
Step-by-step explanation:
in the standard form of the line that is Ax +By = C we can write it in the form of
By = C - Ax
which is in the form of
where m is the slope of the line and c is y intercept made by the line.
comparing and
we get that and
since it is given that slope of the line is -7 therefore m = -7 and c = 0
therefore and
therefore C = 0 , A = 7 and B = 1
therefore the equation becomes 7x + y = 0
2.8.1
By definition of the derivative,
We have
and
Combine these fractions into one with a common denominator:
Rationalize the numerator by multiplying uniformly by the conjugate of the numerator, and simplify the result:
Now divide this by <em>h</em> and take the limit as <em>h</em> approaches 0 :
3.1.1.
Differentiate one term at a time:
• power rule
The last two terms are constant, so their derivatives are both zero.
So you end up with