(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:
Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that
and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.
(b) The equation of the tangent line is then <em>y</em> = 9.
Answer:
steps below
Step-by-step explanation:
y = (x-3) / x
replace x and y: x = (y-3) / y
y - 3 = xy
y - xy = 3
y(1 - x) = 3
y (f'(x)) = 3 / (1-x)
Answer:
Step-by-step explanation:
A quadratic function is a function in which the highest power of the unknown variable is 2.
Formally, a quadratic function is defined as a function of the form:
From the given options, only B and D has the highest power as 2. Therefore, the equations that represent quadratic functions are:
Answer: 14
Step-by-step explanation: hope this helps u :)