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2 years ago

If f(x + 2) = 2x + 3 then find f-'(4).

Mathematics

1 answer:

sammy [17]2 years ago

7 0

Given:

The function is

$f(x+2)=2x+3$

To find:

The value f'(4).

Solution:

We have,

$f(x+2)=2x+3$

Putting $x+2=t$ and $x=t-2$ we get

$f(t)=2(t-2)+3$

$f(t)=2t-4+3$

$f(t)=2t-1$

Differentiate with respect to t.

$f'(t)=2(1)-0$

$f'(t)=2$

At $t=4$ , we get

$f'(4)=2$

Therefore, the value of f'(4) is 2.

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If f(x + 2) = 2x + 3 then find f-'(4).​

If f(x + 2) = 2x + 3 then find f-'(4).