Find equation of a line

[abbycookies]

find equation of a line tangent to f(x)=x³+x²+5x+2 at x=1 I completely forgot how to do this

 

[Deleted member 4993]

find equation of a line tangent to f(x)=x³+x²+5x+2 at x=1 I completely forgot how to do this

1) find the value f(1)

2) The line passes through [1, f(1)]

3) The slope of the line is the value of df/dx at x=1

4) Now you know a point on the line and its slope - determine the equation of the line.