`f(t) = sqrt(5 - t)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 11 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385's profile pic

hkj1385 | (Level 1) Assistant Educator

Posted on

`f(t) = sqrt(5-t)`

`f'(t) = 1/{2sqrt(5-t)}*(-1)`

`or, f'(t) = -1/{2sqrt(5-t)}`

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Note:- If y = sqrt(x) ; then dy/dx = 1/{2sqrt(x)}

kandukurimaths's profile pic

kandukurimaths | Student, Graduate | (Level 1) Honors

Posted on

f(x)=sqrt(1-t)

let y=f(x)

 y2=1-t

apply derivative both side with respect t

using chain rule

 f(g(x)) = f'(g(x))g'(x)

2y(dy/dx)=0-1

dy/dx=-1/2y

dy/dx=-1/(sqrt(1-t))

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