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Differentiability
Those friendly functions that don't contain breaks, bends or cusps are "differentiable". Take their derivative, or just infer some facts about them from the Mean Value Theorem.
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Which of the following is the tangent line to the curve \(f(x)=2x^3-8x^2\) at the point \((1,-6)?\)
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by Brilliant Staff
Find the equation of the tangent line to the curve \(x^2y-x=4y^3-108\) for \(x=0.\)
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What is the equation of the line that passes through the point \((3,24)\) and is perpendicular to the tangent line of the curve \( y=x^2+5x\) at that point?
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Given the curve \(x=t^3, y=4t^2+9,\) what is the \(y\)-intercept of the tangent line to the curve at \(t=1 ?\)
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What is the \(y\)-intercept of the tangent line to the curve \(y=e^{x-4}\) at the point \((5,e)?\)
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by Brilliant Staff