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` .

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aruv | High School Teacher | (Level 2) Valedictorian

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`` 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


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