Ash L.
asked • 10/29/21Calculate the difference quotient for 𝑓(𝑥)=1/√(2x+11) at 𝑎=4.
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Stanton D. answered • 10/31/21
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And what exactly is the "difference quotient" you are seeking, is it the expression (f(x+alpha)-f(x))/alpha ? If so, just plug in, crank away, and solve! If your teacher is an ogre, he/she may require conversion to standard form, i.e. no square roots in the denominator.... But if, on the other hand, it's the first derivative at x=4, that's more easily done. You probably know the chain rule for derivatives of powers of expressions?? -- Cheers, --Mr. d.
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Stanton D.
And what exactly is the "difference quotient" you are seeking, is it the expression (f(x+alpha)-f(x))/alpha ? If so, just plug in, crank away, and solve! If your teacher is an ogre, he/she may require conversion to standard form, i.e. no square roots in the denominator.... But if, on the other hand, it's the first derivative at x=4, that's more easily done. You probably know the chain rule for derivatives of powers of expressions?? -- Cheers, --Mr. d.10/31/21