The function of y= (3x^2+x-2) / (e^x) has a horizontal tangent line when x=?
Find the derivative as
Now, horizontal tangent line means, slope is 0, hence set numerator to 0
The function of y= (3x^2+x-2) / (e^x) has a horizontal tangent line when x=?
Find an equation of the line that is tangent to the graph of f and parallel to the given lineFunction: f(x) = x^3Line 3x-y+1 = 0._.; I know the derivative of the function is 3x^2 and I do have the answer in the back of my book just need the way to get it..
Determine the point at which the graph of the function has a horizontal tangent line. x2 f(x) x² + +4 (x, y) = Submit Answer
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
For the function, find the points on the graph at which the tangent line is horizontal y=x +5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The point(s) at which the tangent line is horizontal isare) (Type an ordered pair Use a comma to separate answers as needed.) OB. The tangent line is horizontal at all points of the graph. OC. There are no points on the graph where...
Find the equation of the tangent line to h(x) = 2 x2 + 3x + 3 at the point (-2,5). y
(1 point) Suppose that f(x) = (3x + 5). (A) Find an equation for the tangent line to the graph off at x = 2. Tangent line: y = (B) Find the values of a where the tangent line is horizontal. If there are no such values, enter - 1000. Values of x =
[5] 1. (a) Find the tangent line to the function y = x2 - e-kat x = 1. [10] (b) A car is driving along a road described by the curve (s) = (s + 2/8, 38-4-1/s). It hits some ice and goes off tangent to the road. If it hits a tree at (1,6), show it left the road at (3,-2)
y^2-3x-4y-1=0 3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
Find an equation for the tangent line to y = f(x) at the specified point. 11) f(x) = -3xe**; where x = 0 A) y = -3x B) y = -3ex C) y = -3x + e D) y - x
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...