Webx = 10y Explanation: y = 2logx or y = logx2;[logxm =mlogx] ∴ x2 = 10y ∴ x = 10y; ... The graph of y = log1/ax is the same as the graph of? 1. y = −ax 2. y = logax 3. y = (a1)x ... Web9 jun. 2024 · Assuming that log is the natural logarithm: y = log [x + √ [x² + a²]] y' = d/dx [log [x + √ [x² + a²]]] --- {Needs a chain rule} y' = 1 / [x + √ [x² + a²]] * d/dx [x + √ [x² + a²]] …
If y = log (root x + 1/root)^2, then prove x (x+1)^2 y2 + (x+1)^2 …
If y=log[x+ x 2+a 2], show that (x 2+a 2) dx 2d 2y+x dxdy=0. Hard Solution Verified by Toppr y=log[x+ x 2+a 2] y 1= dxdy= x+ x 2+a 21 (1+ 2 x 2+a 22x) y 1= x+ x 2+a 21 ( x 2+a 2x 2+a 2+x) ⇒y 1( x 2+a 2)=1 Again differentiate, ⇒y 2( x 2+a 2)+ 2 x 2+a 21.2.x.y 1=0 ⇒y 2(x 2+a 2)+xy 1=0 Video Explanation WebSolution Verified by Toppr y= ax+ xa dxdy= 21 xa× a1− 21 ax× x 2a⇒ dxdy= 21 ax1− 21 xa× x1 2x(dxdy)=( ax− xa) 2xy(dxdy)=y( ax− xa)=( ax+ xa)( ax− xa)⇒2xy(dxdy)=(ax− xa) Solve any question of Continuity and Differentiability with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions scrubs tyler tx
Find the derivative and simplify $y = \\ln(x+\\sqrt{x^2 + a^2})$
WebIn mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical … Weby=log (x) Natural Language. Math Input. Extended Keyboard. Examples. Assuming "log" is the natural logarithm Use. the base 10 logarithm. instead. WebThe Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ... scrubs tv show t shirt