(1 point) Write an expression for the function, f(x), with the properties. f'(x) = (ln(x)2)/x and...
(point) Match each logarithmic function f(x) with its graph. 1.f(x) = ln(-x) 2.f(x) = - In(-x) 3.f(x) = - In(x) 4. f(x) = ln(x - 6) 5. f(x) = 6 + In(x) 6.f(x) = In(6 - x)
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8. -2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
Write the expression as the logarithm of a single quantity. 1/2 ln x + 8 ln y − 9 ln z
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
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
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?
(1 point) Find Taylor series of function f(x) = ln(x) at a = 7. (f(1) = (x – 7)") ܫ)ܐܶ Co C1 C2 = C3 = C4 Find the interval of convergence. The series is convergent: from 2 = left end included (Y,N): to = right end included (YN):
need hw help For the function f(x) = ln(x2+25). Find all interval(s) where f(x) is increasing. Select all that apply. (O, 5) (-0, 0) (-5, 0) ol-00,-5) None (0, 2) (5, 00) For the function f(x) = in(x2+25). Find all interval(s) where f(x) is decreasing.Select all that apply. (5, 0) (-00, 0) O (0, 5) (-0, -5) (0, 0) None (-5, 0) For the function f(x)=Ln(x2+25), identify any relative maximum or minimum point(s). Select all that apply. (21n(5), ) is...
pt 3 (1 point) The expression can be written as eft), where f(x) is a function of . Find f(x). f(x) = x+2
If we are given that the composite function g(x) = ln(f(x) passes through the point (0,1) where it has a tangent line of slope -1, then what is the value off'(0)? a) 0 b) 0-1 c) O-e d) e) Review Later Question 24 Find lim x? In(x2). X-0 a) 4 b) The limit does not exist. c) 0 d) 01 e) 2 Review Later