What is the equation of the tangent line of #f(x) =sin^2x-x^3# at #x=pi/4#?
The tangent's slope is
Thus, the tangent's equation is
graph{[-2.5, 2.5, -1.25, 1.25]} = 0 ((sin x)^2-x^3-y)(.85x+y-.684)
graph{[-2.5, 2.5, -1.25, 1.25]} = (sin x)^2-x^3-y)(.85x+y-.684)
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The equation of the tangent line of f(x) = sin^2x - x^3 at x = pi/4 is y = -3x + (7pi/16) + 1/8.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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