query: Find the derivative of $y = \frac{\sqrt[3]{4x^3+8}}{(x+2)^5}$
positive_passages.docid: 17475
positive_passages.text: Find the derivative of $y= \frac{(4x^3 +8)^{\frac{1}{3}}}{(x+2)^5}$
negative_passages.docid: 100777
negative_passages.text: Finding the derivatives of sin(x) and cos(x)
negative_passages.docid: 20904
negative_passages.text: Finding derivative of this integral function.
negative_passages.docid: 769
negative_passages.text: Find multivariable limit $\frac{x^2y}{x^2+y^3}$
negative_passages.docid: 128535
negative_passages.text: Find the equation of the tangent line to $y=x^4-4x^3-5x+7$
negative_passages.docid: 38192
negative_passages.text: Derivative of inverse function at a point.
negative_passages.docid: 61548
negative_passages.text: What would be the roots of the derivative of this polynomial
negative_passages.docid: 59165
negative_passages.text: Derivative of a linear transformation.
negative_passages.docid: 40464
negative_passages.text: Find series representation of a function $ y=\frac{1}{1+x+x^{2}+x^{3}} $
negative_passages.docid: 91059
negative_passages.text: Why is $\frac{d^n}{dx^n}(y(x))$ the notation for the $n$th derivative of $y(x)$, instead of $\frac{d^n}{d^nx}(y(x))$?
negative_passages.docid: 62758
negative_passages.text: How find this value $\frac{a^3}{(a-p)(a-q)}+\frac{b^3}{(b-p)(b-q)}+\frac{c^3}{(c-p)(c-q)}$
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negative_passages.text: Behaviour of $\frac{x^{3} y}{x^{6} + y^{2}}$ around origin
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negative_passages.text: Approximating a three-times differentiable function by a linear combination of derivatives
negative_passages.docid: 57193
negative_passages.text: Prove that $f$ has derivatives of all orders at $x=0$, and that $f^{(n)}(0)=0$ for $n=1,2,3\ldots$
negative_passages.docid: 79212
negative_passages.text: Find the general solution of $y'= a^{x + y}$ where y is the function
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negative_passages.text: Plotting the solution of a differential equation with its derivative
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negative_passages.text: How to find degree of a differential equation.