WebAug 1, 2024 · Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. WebAnswer (1 of 8): When one sees e^x on the rhs then remove it. Use y = z e^x, y’ = (z’ +z) e^x+ z e^x= (z’+2z) e^x, y’= (z’’ +2z’) e^x+(z’+2z)e^x (z’’+3z’+2z) e^x. Put these values in the equation and remove e^x. z’’+3z’ +2z-z= x. z’’ +3z’+z=x., Assume a solution of the form Solve z’’ +3z’+z=...
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WebExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. WebFigure 1 shows the graph of the quasiconvex function xe x . This function is decreasing on the interval (−∞, −1] and increasing on the interval [−1, ∞). ... read in json python
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WebSolution for Match the graph to its function: a) = 4 y = (x-2)²-9 Ob) y=1/(x+2)²-9 c) y = ¹/(x+2)² +9 1 d) y = ²(x-2)² +9 1 4 + DE . ... WebMar 18, 2016 · The Product rule (for derivatives) says that for differentiable functions, f and g, the derivative of the product is given by: d/dx(f(x)g(x)) = f'(x)g(x)+f(x)g'(x) In this question, we have f(x) = x, so f'(x) = 1, and g(x) = e^x, so g'(x)=e^x d/dx(f(x)g(x)) = (1)(e^x)+x(e^x) = e^x+xe^x " " which you may prefer to write as = e^x(1+x) or as e^x ... WebCalculus. Find the Horizontal Tangent Line f (x)=xe^ (-x) f (x) = xe−x f ( x) = x e - x. Find the derivative. Tap for more steps... −e−xx+e−x - e - x x + e - x. Set the derivative equal to 0 0 then solve the equation −e−xx+ e−x = 0 - e - x x + e - x = 0. read in hindi translation