x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
x2–2x-3 Let f(x) = Find the X-value(s) for which the graph of y = f(x) has a horizontal tangent line. x+2
1. Calculate f(x + h) 2. Calculate f (x+h)-f(x) 3. Simplify f(a+h)-f(x) 4. finish up with the limit Given f(x) = x2 - 12x, use lim f(x + h) - f(x) to find the slope of a tangent line this this function when x= 3. h
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent line to the graph off at the point where x = a. ma (b) Find an equation of the tangent line to the graph off at the point (1, 5). y(x) = (c) Find an equation of the tangent line to the graph off at the point (2,6). y(x) = (d) Use technology to graph fand the two tangent lines in the same viewing...
Consider the function and the value of a. f(x) = -5 X - 1 a = 3 (a) Use mtan f(a+h) - f(a) = lim to find the slope of the tangent line mtan h0 h = f'(a). = mtan 5 4 (b) Find the equation of the tangent line to fat x = a. (Let x be the independent variable and y be the dependent variable.) »- 3 = (x – 3) x Consider the graph. у 5 x...
Consider the function f(x, y) = x^3 − 2xy + y^2 + 5. (a) Find the equation for the tangent plane to the graph of z = f(x, y) at the point (2, 3, f(2, 3)). (b) Calculate an estimate for the value f(2.1, 2.9) using the standard linear approximation of f at (2, 3). (c) Find the normal line to the zero level surface of F(x, y, z) = f(x, y) − z at the point (2, 3, f(2,...
X-2 3 of 9 5.(12 pts) let f(x) = ******. Graph the function and use it to find lim f(x) and lim f(x). Does lim f(x) exist? Find domain and range of f(x). 2 that are to the line - 4x + y = 5.
(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 =
the graph of a f(x) is shown. The domain is {-10,10}. a) Find the range b) find the lim x->1+ f(x)= c) find the lim x-> 1- f(x)= y-axis
Let f(x) = z² and g(x) = (1 - 5)² + 10. There is one line with positive slope that is tangent to both of the parabolas y = f(x) and y = g(x) simultaneously. ye9bx)/ y=f/ Find the equation of the line. y= On a separate piece of paper, sketch the graph of the parabola y = 2? + 6. On the same graph, plot the point(0, – 3). Note that there are two tangent lines of y =...