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Find the derivative of an inverse function

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#calculus #real-analysis #derivatives #inverse-function
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Find the equation of the tangent line of $y=x^2-x$ at $(-2,6)$.

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#calculus #derivatives #tangent-line
126
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Does continuity of $f(x)$ imply continuity of $f^{(n)}(x)$? And other questions.

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#calculus #derivatives #continuity #taylor-expansion
136
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Understanding partial differential notation

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#derivatives #partial-derivative
48
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Find the partial derivatives of the function $f(x)=\|x\|^{\alpha}$ outside of $(0,0)$

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#derivatives #partial-derivative #vector-analysis
236
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Derivative of positive, continuously differentiable function is positive close to zero

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#calculus #real-analysis #derivatives
117
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Deriving partial chain rule using total derivative chain rule

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#real-analysis #derivatives #partial-derivative
923
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Use an appropriate change of variables to solve the differential equation.

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#ordinary-differential-equations #derivatives #change-of-variable
51
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To solve the differential equation use an appropriate change of variables.

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#integration #ordinary-differential-equations #derivatives #differential
106
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What does $\lim\limits_{h\to0}\frac{\lVert f(x+h)-f(x)-L(h)+\cdots\rVert}{\lVert h\rVert^k}=0$, $k\gt1$, tell us about the function $f$?

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#multivariable-calculus #derivatives
94
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Prove all derivatives of $f(x)=\frac{1}{1+x}$ by induction

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#real-analysis #derivatives #induction
1k
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$\left|\sin(x)\right|$ derivative at $\pi$

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#calculus #real-analysis #derivatives #continuity
56
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Derivative of a continuous function and its inverse: what am I missing?

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#real-analysis #probability-theory #derivatives #probability-distributions
67
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$h(x)=e^{2x}+x^3$. Find $(h^{-1})'(1)$.

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#calculus #real-analysis #derivatives
177
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Proof Check: The Product rule via Taylor Series

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#calculus #derivatives #proof-verification #taylor-expansion

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