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10 cards from this deck
What happens to function values as input approaches a value
f(x+h)−f(x)h\frac{f(x + h) - f(x)}{h}hf(x+h)−f(x)
f′(x)=limh→0f(x+h)−f(x)hf'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}f′(x)=limh→0hf(x+h)−f(x)
nxn−1nx^{n-1}nxn−1
000
Derivative of the first derivative
When f′(x)=0f'(x) = 0f′(x)=0
ddx[f(x)+g(x)]=ddx[f(x)]+ddx[g(x)]\frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]dxd[f(x)+g(x)]=dxd[f(x)]+dxd[g(x)]
Finding maximum or minimum values of functions
ddx[k⋅f(x)]=k⋅ddx[f(x)]\frac{d}{dx}[k \cdot f(x)] = k \cdot \frac{d}{dx}[f(x)]dxd[k⋅f(x)]=k⋅dxd[f(x)]
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