Find the indicated derivative for the given function. f"(x) for f(x) = e = x2 {"(x)...
Find the derivative of the function at the given number. f(x) = x2 - 8 at 0 f(0) = [-/1 Points] DETAILS SULLIVANCALC2 2.1.027. Find the derivative of the function at the given number. f(x) = x at 25 f'(25) [-/1 Points] DETAILS SULLIVANCALC2 2.2.053. Find the derivative of the function. 2 f(x) x² f'(x) =
Find the derivative of the function. f(x) = x2 cos x f'(x)
Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f'(x) = lim f(x+h)-f(x) h h-0 What is the slope of tangent line to this curve at x = -1?
Find the directional derivative D−→ u f(x,y) of the function f(x,y) = x2 + 3xy + y3 where →− u is the unit vector given by angle θ = π 4. What is D−→ u f(1,1)?
Find the derivative of the function. g(x) = 800(3 - e-0.1x) Find the derivative of the function. y = :ets Find the derivative of the function. y = 4e(x2 + 6)3 Find the derivative of the function. y = In(e2x + 3)
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at the point P(1, -1) in the direction of 7 = -31 + 4. That is, find Dif(1,-1). 5 14 O 14 5 O 14 5 O 5 14
Apply the second derivative test to find the relative extrema of the function f(x)=ln(x2+x+1)
The graph of f', the derivative of a function f, is given below. df/dx X1 X2 X3 X4 X5 X6 (You can click on the graph to enlarge the image.) Note: This is a graph of f', not a graph of f. At which of the marked points x1, x2, x3, x4, X5, X6 of the variable x we have that: M A. f(x) greatest? x = B. f(x) least? x = c. f'(x) greatest? x = D. f'(x) least?...
The DERIVATIVE f'(x) of a function f(x) is given by f'(x) = x²(x - 3). Find the intervals on which the function f(x) is DECREASING OA (-2,0) and (3,00) OB. (-0,0) and (0,3) Oc (0,3) OD. (-0,0) OE (3,0)
Find the derivative of the following functions: (x2-1) f(x) = (x2 +1) f(x) = (x3 + 2x)3(4x + 5)2