SOLUTION: Consider the function f(x) = -x2 + 27x − 9. The slope of the tangent line to f(x) at x = -9 is ? The value of f(x) at x = -9 is ? The y-intercept of the tangent line at

Algebra.Com
Question 1179793: Consider the function f(x) = -x2 + 27x − 9.
The slope of the tangent line to f(x) at x = -9 is ?
The value of f(x) at x = -9 is ?
The y-intercept of the tangent line at x = -9 is ?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Consider the function

The slope of the tangent line to at is ?
find derivate
'........plug in
'
'
=> slope is
The value of at is ?





=> tangent point: (,)=(,)
The -intercept of the tangent line at is
tangent line will be:







download



RELATED QUESTIONS

Consider the function f(x) = -x^2 + 27x − 9. The slope of the tangent line to f(x)... (answered by ikleyn)
What is the slope of the line tangent to the curve at a given value of x? f(x)= 8x^2 +... (answered by TimothyLamb)
Use the four-step process to find the slope of the tangent line to the graph of the given (answered by Boreal)
What is the function value of f(9) if... (answered by ikleyn)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 9. (answered by Alan3354)
Given the quadratic function f(x) = x2 – 12x + 36, find a value of x such that f(x) = 9. (answered by edjones)
Let f(x) = x^2 - 7x What is the equation of the tangent line at P(5,f(5)). The... (answered by Alan3354,MathLover1)
Please help, Consider the function f(x) = x2 − 1. Find the equation of the... (answered by rothauserc)
please help me solve this question? Consider the function f(x) = -x2 + 3x - 1. Find the... (answered by MathLover1)