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  1. Click the 'Go' button to instantly generate the derivative of the input function. The calculator provides detailed step-by-step solutions, facilitating a deeper understanding of the derivative process. implicit\:derivative\:\frac {dy} {dx},\: (x-y)^2=x+y-1.

  2. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  3. Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-step.

  4. www.mathway.com › popular-problems › AlgebraGraph f (x)=e^x | Mathway

    Horizontal Asymptote: y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

  5. x y' (x) - 4 y (x) = x^6 exp (x), y (1) = 0. See the steps for using Laplace transforms to solve an ordinary differential equation (ODE): solve y' (t) - 3y (t) = delta (t - 2), where y (0) = 0.

  6. Example 1. Sketch the graph of g(x) = √x + 4. Solution: Begin with the basic function defined by f(x) = √x and shift the graph up 4 units. Answer: A horizontal translation is a rigid transformation that shifts a graph left or right relative to the original graph.

  7. The inverse function calculator finds the inverse of the given function. If f (x) f (x) is a given function, then the inverse of the function is calculated by interchanging the variables and expressing x as a function of y i.e. x = f (y) x = f (y).

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