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Choose the specific calculus operation you want to perform, such as differentiation, integration, or finding limits. Once you've entered the function and selected the operation, click the 'Go' button to generate the result. The calculator will instantly provide the solution to your calculus problem, saving you time and effort.
Enter three functions of t and a particular t value. The widget will compute the curvature of the curve at the t-value and show the osculating sphere.
Consider this a template for developing your own method for checking your answers. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Compute the curvature of a plane curve at a point: curvature of y=x^2 at x=0.2. Specify the curve in polar form: curvature of the polar curve r=t^3+2 near t=1/10. Compute the curvature of a space curve: what is the curvature of (s, sin s, cos s) at s=2. Compute a curvature in higher dimensions:
Calculate the curvature and radius of curvature of the graph of the function \[y = \sqrt x \] at \(x = 1.\) Solution. We write the derivatives of the square root:
To do this we, we need to use the parameter s which measures distance along the circumference which must be scaled by 1/r (so that 2pi r of distance equals one cycle around the circle, 0 to 2pi radians) to get the correct answer.
Curvature calculator. Compute plane curve at a point, polar form, space curves, higher dimensions, arbitrary points, osculating circle, center and radius of curvature.
