Mathematics
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OpenStudy (anonymous):
compute the difference quotient of the given function
g(t)=42
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OpenStudy (anonymous):
difference quotient at the given point \(x\) equals \[\frac{g(x+\Delta x)-g(x)}{\Delta x}\]
OpenStudy (anonymous):
but \(g(t)\) is a constant function can u tell me what will be the value of \(g(t+\Delta t)\)
or \(g(t)\)
OpenStudy (anonymous):
42
OpenStudy (anonymous):
thats right so what will be the difference quotient
OpenStudy (anonymous):
x
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OpenStudy (anonymous):
wait.... i don't understand you're question
OpenStudy (anonymous):
@mukushla
OpenStudy (anonymous):
well we know that \( g(\text{anything})=42\)
OpenStudy (anonymous):
difference quotient \[\frac{42-42}{\Delta t}\]
OpenStudy (anonymous):
my equation is f(x+h)-f(x)/h
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OpenStudy (anonymous):
oh sorry i mean \(h\) by \(\Delta x\)
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so it would be Q(42+h)-Q(42)/h ?
OpenStudy (anonymous):
\(x=42\) ? or \(g(x)=42\)
OpenStudy (anonymous):
u have \[\frac{g(x+h)-g(x)}{h}=\frac{42-42}{h}=0\]since \(g\) is a constant function
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OpenStudy (anonymous):
so difference quotient is 0
OpenStudy (anonymous):
ohh ok
OpenStudy (anonymous):
would H(x)=2z^2+9 be solved the same way?
OpenStudy (anonymous):
@mukuchla