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Sep 25, 2024 · To find the equation of a tangent line, sketch the function and the tangent line, then take the first derivative to find the equation for the slope. Enter the x value of the point you’re investigating into the function, and write the equation in point-slope form.
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Free tangent line calculator - find the equation of the tangent line given a point or the intercept step-by-step
The equation of the tangent to y=f(x) at the point x=a is given by the formula: y=f'(a)(x-a)+f(a). The formula for the equation of tangent is derived from . The gradient of the tangent when is equal to the derivative at the point , which is given by .
Free tangent line calculator - step-by-step solutions to help find the equation of the tangent line to a given curve at a given point.
Suppose $$x^2 + y^2 = 16$$. Find the equation of the tangent line at $$x = 2$$ for $$y>0$$. Step 1. Find the $$y$$-value of the point of tangency.
Enter the function f (x) f (x) you want to find the tangent line for (Ex: f (x) = 2x^3 + 3x - 4/5, etc.) This calculator will allow you to seamlessly conduct the calculations required to get the tangent line of a function, at a given point, showing all the steps.
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Jun 21, 2023 · Find the equation of the tangent line to \(y=f(x)=x^{3}-\rho x\) for \(\rho>0\) constant, at the point \(x=1\). Find where that tangent line intersects the \(x\)-axis.
