Find the derivative. f(x)=ln (xe" + 9) f ,(x)= Find the derivative. f(x)=ln (xe" + 9) f ,(x)=
Find the derivative of the function. f(x) = (ln(x + 5)) f'(c) = Preview Find the derivative of the function. f(t) = ť(In(t))? f'(t) = Preview If f(a) = 8 ln(4x), find a. f b. Rounded to the nearest whole number: f(e) c. Rounded to the nearest whole number: f'(e) = d. sing your results for f(e) and f'(e), find the equation fo the line tangent to the curve f(x) at the point (e, f(e)). Round decimals to the nearest...
5. Find the derivative of f(x) = ln (sec(x) + tan *' (x)). 6. Find an equation of the tangent line to the curve y = x’ In(x) when x = e?
dg (1 point) Suppose g(x) = ln(ln(ln(f(x)))), f(6) = A, and f'(6) = B. Find the derivative dx g'(6) = x=6
please find the derivative and show steps (e) f(x)= ln(5x+1) Midi
Apply the second derivative test to find the relative extrema of the function f(x)=ln(x2+x+1)
13. Find the directionsin which the directional derivative of f(x,y) = xe-ty at the point (2,0) has value 1.
find the derivative 6x<+2 ln(x), (1 point) Find the derivative with respect to x of h(x) = h'(x) =
(b) Find the directional derivative of f(x, y, z) = xy ln x – y2 + z2 + 5 at the point (1, -3,2) in the direction of the vector < 1,0,-1>. (Hint: Use the results of partial derivatives from part(a))
Consider the function f(x) = x ln(3x+1) (a) Find the derivative (b) Write the linearization of f at x = 2 (c) Use your linearization to estimate f(2.5) (d) Draw a sketch of the function in the space below, using a solid line for f(x). On the same coordinate plane, draw a sketch of the linearization using a dotted line. Please use values 0<x<5(or equal to) on the x-axis (e) Is your estimate from part c an overestimate or underestimate?
Find the derivative of y with respect to x y = ln 4.2