Find the equation of the line tangent to the graph of the function at the given p

Question

Question

f(x)= √x sin(π/2 - x) at x₀ = π/2

Answer 1

Answer #1

The equation of a line tangent in slope intercept form is given by

Where 'm' is the slope of the line tangent. This is nothing but the the derivative of the function at a given point ( here at Xo).

Finding m:

Using uv rule(multiplication) of derivates,

Equation of the line tangent at (x0,y0):

Therefore the line tangent is given as,

Answer 2

Similar Homework Help Questions

Find an equation for the tangent line to the graph of the given function at (5,23)....

Find an equation for the tangent line to the graph of the given function at (5,23). f(x)=x2-2 Find an equation for the tangent line to the graph of f(x) = x2 - 2 at (5,23). y=
Find an equation for the tangent line to the graph of the given function at (2,...

Find an equation for the tangent line to the graph of the given function at (2, -3). f(x) = x2 - 7 Find an equation for the tangent line to the graph of f(x) = x² - 7 at (2, - 3). y =
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for...

Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y = Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =

Find the equation of the tangent line to the graph of the given function at the...

Find the equation of the tangent line to the graph of the given function at the given value of x. f(x) = 7x + 39; x = 5 y = (Type an expression using x as the variable.)
Find the equation of the tangent line to the graph of the function f (x) =...

Find the equation of the tangent line to the graph of the function f (x) = sin (777) at the point (-2,0).
Find an equation of the tangent line to the graph of the function at the given...

Find an equation of the tangent line to the graph of the function at the given point. 1 s(x) = x² - 2x + 16' (2, 1) y = Use a graphing utility to graph the function and the tangent line in the same viewing window. y y 1.0 1.04 0.5 0.5 10 5 10 -0.51 -0.5

Find an equation of the line that is tangent to the graph of f and parallel to the given line.

Find an equation of the line that is tangent to the graph of f and parallel to the given line.function: f(x) = x2 − 6line: 2x + y = 0
Find the equation of the tangent line to the graph of the given function at the...

Find the equation of the tangent line to the graph of the given function at the point where x=3. write your final answer in form Ax+By=C, where A,B, and C are integers. *** = (2)
1. Find an equation of the line that is tangent to the graph of f and...

1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 2x2 2x − y + 2 = 0 y = 2.Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(x) = 2(2 − x)2, (6, 32) f '(6) =

4. (10 points) Find an equation of the tangent line to the graph of the function...

4. (10 points) Find an equation of the tangent line to the graph of the function at the given point. f(x) = arctan x, (-1,-) S 10 Bito Tuten of ladder lid