Recall that the equation of the line tangent to f ( x ) {\displaystyle f(x)} at ( a , f ( a ) ) {\displaystyle (a,f(a))} is f ( x ) = f ( a ) + f ′ ( a ) ( x − a ) . {\displaystyle f(x)=f(a)+f'(a)(x-a).} This is also known as the linear approximation of f {\displaystyle f} at a . {\displaystyle a.}
Try questions 1(b) and 4(b) of this exam for more practice with tangent lines.
