1350 Tangent Lines
Math 1350 - Differentiation and Tangent Lines
In this lab you will see how to find the derivative of a function and how to find the tangent line. The equation of the tangent line at x = a is
L(x) = f(a)+f_prime(a)*(x-a).
To differentiate f(x) use MAPLE command D(f).
Find the value for f_prime for x=5.
Find the tangent line for f(x) = x^2, at a = 2. Plot the function and its tangent line.
First we define the function
To find the slope of the tangent line to the curve y = f(x), differentiate f(x). Then apply the formula for the tangent line.
> plot([f(x), L(x)], x=-4..4, y=-5..10);
1) Find the tangent line for f(x) = x^4-5*x^3+x^2-1 at a = -2 and a = -4. Plot f(x) and its tangent lines.
2) Find the tangent line of f(x) = cos(x) at? a = p/2. Plot f(x) and its tangent line.