WebDec 6, 2015 · Given #y= e^(x-1)# (this is a one-to-one function) Step 1: Switch #x# for #y# and #y# for #x# like this . #color(red) x= e^(color(blue)(y)-1)# Step 2: Begin to solve for #y# Take #ln# of both side . #ln(x) = lne^(y-1)# Use the properties of log #ln e= 1#; # log a^n = nlog a#. #ln x= y-1# #ln x + 1 = y# Step 3: Change #y# to #f^(-1)(x) # #f^(-1 ... WebMar 5, 2015 · You can use logarithmic differentiation. Take the natural logarithm of both sides. lny = lnxx. Now using properties of logarithms, rewrite the right hand side. lny = xlnx. Differentiate both sides with respect to x. Use the product rule on the right side. 1 y dy dx = lnx + x 1 x. 1 y dy dx = lnx + 1.
Derivative Calculator: Wolfram Alpha
WebDifferentiate using the Exponential Rule which states that is where =. Step 1.3. Replace all occurrences of with . Step 2. Differentiate. Tap for more steps... Step 2.1. Since is constant with respect to , the derivative of with respect to is . Step 2.2. Differentiate using the Power Rule which states that is where . WebFind the first and second derivative of the following functions. y = 3 x 2 + x 1 x 3 + 2 x 1 / 2 e 4 x . Find the first and second derivatives of the following: y = 6x^2 - 10x - 5x^{-2}. Find the first and second derivative of the following function: y = \frac{x^6 - 7x^5 +1}{4x^4 +x^3 + 9x^2 - 2x + 8} pa private lands
Differentiate a function with Step-by-Step Math Problem Solver - Quick…
WebVIDEO ANSWER:in this question we need to differentiate the function eight times it is to the power X plus four divided by the cube root over X. So from here, if we differentiated with respect to X then it will be equals two or first of all. We can simplify this way further. We can write it as eight times E. Raised to the power X plus four times X raised to the power … WebDerivative Calculator. Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as … WebDifferentiate the function. y = e^(x+8) + 6 . おこたんぺこ ツイッター