Question
Asked Oct 30, 2019
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Evaluate the difference quotient for the given function. Simplify your answer.

f(x) = x2 + 5,    
f(6 + h) − f(6)
h
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Expert Answer

Step 1

Substitute the values in difference quotient formula for x = (6+h) and x = 6.

By the use of difference quotient formula, m is calculated at a given point which is the slope of the curve.

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f(x +h)-f(x) (х+h)-х т- f(x +h)-f(x) h f(6+h)-f(6) т

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Step 2

Now we need to get the value of f(6+...

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f(x)=x +5 f(6+h)(6+h)+5 =36 12h5 =h2 +12h+ 41 f(6)=62+5 36+5 = 41

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Calculus

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