WebAug 31, 2015 · The graph of y = lnx is concave down on (0,oo). The domain of lnx is (0,oo). The second derivative is : -1/x^2 which is always negative. So the graph of y = lnx is concave down on (0,oo). WebSolution: Given y= ln (1 - x ) The slope of the tangent can be computed as the derivative of the given function at a point. Let y' be the derivative of the given function. y'= d/dx {In (1 - x)} we know that d/dx (ln) = 1/x. So, y'= 1/1 - x. y' at x = -1 is y' = 1/1 - (-1) = 1/1 + 1 = 1/2. Therefore, the slope of the tangent to the given graph ...
Answered: Let R be the region between the graph
WebJan 26, 2024 · Then we calculate the first and second derivatives: d dx ln( 1 x) = 1 1 x ( − 1 x2) = − 1 x. d2 dx2 ln( 1 x) = 1 x2. We can see that f (x) is monotone and strictly decreasing in its domain and therefore has no local extrema, and that it is concave up everywhere. graph {ln (1/x) [-10, 10, -5, 5]} Answer link. easy chocolate sweets to make
How do you graph log functions, step-by-step? Purplemath
WebMar 17, 2024 · A Thorough Guide. Yes, you can draw the graph of ln x. If you are already familiar with the graph of ln x, this should be a simple task for you; if not, this will be a little more challenging but not too difficult. To proceed with drawing the ln x graph, a few simple steps are required. In this complete guide, you will learn h ow to draw the ... WebPlot the curve: Plot the curve of ln(x^2) = 0.7 on the graph. Since the function is logarithmic, the curve will start from a point close to the y-axis, curve upward, and approach the x-axis but never touch it. Label the axes: Label the x-axis as "x" and the y-axis as "ln(x^2) = 0.7" to indicate the function being plotted. WebFirst, the domain of f(x)= \ln(x+1) is (-1, \infty). Furthermore, for all x\in \mathbb R, \dfrac 1{x+1} \neq 0. That means that f(x) has no minimum/maximum on the domain on which … easy chocolate trifle bbc