Use the derivitate function form: `f'(x) = lim_(h->0) (f(x+h)-f(x))/h` to find the tangent line to the graph of `f(x)=sqrt(x+1)`  at `x=0` .

1 Answer | Add Yours

aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on






`` Therefore


Multiply and divide by`sqrt(x+h+1)+sqrt(x+1)`





`` We need to draw tangent at point (0,f(0))


slope of the tangent at (0,f(0))




Slope of the tangent at point (0,1) is 1/2.

Thus equation of the tangent is



Thus equation of the tangent  at point (0,1) on the curve       f(x)=sqrt(x+1) is


We’ve answered 317,539 questions. We can answer yours, too.

Ask a question