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Asked Sep 16, 2019
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Can you please help me step by step with this problem?

Use the formula f'(x)= lim (2)-f(x) to find the derivative of the following function.
Z-X
f(x) 3+ x
(Type an exact answer, using radicals as needed.)
f(x)
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Use the formula f'(x)= lim (2)-f(x) to find the derivative of the following function. Z-X f(x) 3+ x (Type an exact answer, using radicals as needed.) f(x)

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Expert Answer

Step 1

Given,

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f'(x)= lim2) - f(x) - (1) Let, z xh Using the above substitution in (1) f'(x) limx+h)-f(x) h h 0 - (2)

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Step 2

Given,

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f(x) 3Vx Using the formula obtained in (2), f'(x) = lim (x+h)- f(x) h h-0 (3+x+h) (3+ vx) lim h 0 h Vx + h - vx lim h-0 h Now we will rationalize the numerator, (Vx+h x+h+vx) h(VxhVx) f'(x) lim h 0 |

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