NELDC Calculus

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Height f(x)

Slope the derivative

Area from 0 the integral

📈 Derivative rulesSlope

Function	Derivative
a plain number	0
xⁿ	n·xⁿ⁻¹
sin x	cos x
cos x	−sin x
eˣ	eˣ
ln x	1/x
u · v	u′v + uv′
f(g(x))	f′(g(x)) · g′(x)

🧺 Integral rulesArea

Function	Integral
k (a number)	kx + C
xⁿ (n ≠ −1)	xⁿ⁺¹/(n + 1) + C
1/x	ln \|x\| + C
sin x	−cos x + C
cos x	sin x + C
eˣ	eˣ + C
from a to b	F(b) − F(a)
by parts	uv − ∫ v du

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NELDC Calculus Workbook

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