WebWhat follows is one way to proceed, assuming you take log to refer to the natural logarithm. Recall that ∫ log(u) du = ulog(u) - u + C, where C is any real number. Using the substitution u = x + 1, du = dx, we may write ∫ log(x + 1) dx = ∫ log(u) du = ulog(u) - u + C.Now we may substitute u = x + 1 back into the last expression to arrive at the answer: WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

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WebFinal answer. Transcribed image text: 2. Find the equation of the line tangent to the graph of f at the indicated value of x. a) f (x) = 3+ lnx;x = 1 b) f (x) = 2+ ex;x = 1 3. Let f (x) = … WebEvaluate the correct limit from the previous step. f' (3)= f ′(3) =. f' (3) f ′(3) gives us the slope of the tangent line. To find the complete equation, we need a point the line goes through. Usually, that point will be the point where the tangent line touches the graph of f f. Step 3. fryzela

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WebDec 25, 2014 · 1. Since you are minimizing the slope of the tangent line, you should be looking at where the derivative of the equation of the slope of the tangent line is zero. The slope of the tangent line is given by f ′ ( x), so you should be finding where the derivitive of that is equal to zero. I.e. where does f ″ ( x) = 0? Webtangent: [adjective] meeting a curve or surface in a single point if a sufficiently small interval is considered. having a common tangent line at a point. having a common … WebEven though there are many ways to restrict the range of inverse trigonometric functions, there is an agreed upon interval used. That is , [-π /2 , π] We have to split the above interval as parts and each part will be considered as range which depends upon the given inverse trigonometric function. The length of each part must be π or 180° . fryzelka