How do you find the equation of the

Milton Shepard

Milton Shepard

Answered question

2022-04-15

How do you find the equation of the tangent line to the curve f(x)=x+cos(x) at x=0?

Answer & Explanation

Alonso Christian

Alonso Christian

Beginner2022-04-16Added 11 answers

To find equation of tangent line of f(x)=x+cosx at x=0, we should first find the slope of the tangent and value of function at x=0.
Then, we can get the equation of the tangent from point slope form of the equation.
At x=0, f(x)=0+cos0=1
Slope of tangent at x=0 is given by value of dydx at x=0.
dfdx=1sinx, the slope at x=0 will be
1sin0=10=1
Hence slope of tangent is 1
Hence, equation of tangent line is
(y-1)=1(x-0) or x-y+1=0

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