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1st Derivative at x = 2
15.000000
Live Graph
f(x) f'(x)
● x = 2 → f(x) ≈ 9.0000
Mathematical Insights
📈
Increasing at x = 2
Rate of change = 15.0000 > 0. Function is rising.
📚 Derivative & Integral Reference
Derivatives
d/dx[xⁿ] = nxⁿ⁻¹
d/dx[sin x] = cos x
d/dx[cos x] = −sin x
d/dx[tan x] = sec² x
d/dx[eˣ] = eˣ
d/dx[ln x] = 1/x
Integrals
∫ xⁿ dx = xⁿ⁺¹/(n+1)
∫ sin x dx = −cos x
∫ cos x dx = sin x
∫ eˣ dx = eˣ
∫ 1/x dx = ln|x|
∫ c dx = cx
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