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(Solved): \[ f(x)=4 x^{2}-5 x \] (a) Simplify \( \frac{f(6+h)-f(6)}{h} \). Algebraically simplify your answer ...
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f(x)=4 x^{2}-5 x
\]
(a) Simplify \( \frac{f(6+h)-f(6)}{h} \).
Algebraically simplify your answer until you have cancelled](https://media.cheggcdn.com/study/627/627fb416-f58f-41a2-918e-532755f5990c/image)
![\[
p=D(x)=950-6 x^{2}
\]
X dollar per one thousind telievisions](https://media.cheggcdn.com/study/c7d/c7d882ee-f55e-4597-8939-697c5de9f767/image)
\[ f(x)=4 x^{2}-5 x \] (a) Simplify \( \frac{f(6+h)-f(6)}{h} \). Algebraically simplify your answer until you have cancelled out the factor of \( h \) in the denominator. (b) Evaluate \( \lim _{h \rightarrow 0} \frac{f(6+h)-f(6)}{h} \). If an answer does not exist, enter DNE. (c) Determine the equation of the line tangent to \( y=f(x) \) at \( x=6 \). \( y= \)
\[ p=D(x)=950-6 x^{2} \] X dollar per one thousind telievisions