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derivatives of Logarithms/thompson I Flashcards | StudBud

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derivatives of Logarithms/thompson I

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Answers

1
Find the derivative: f(x) = 2x e^6x+1
f'(x) = 12x e6x+1+ 2e6x+1
f'(x) = 2x e6x+1+ 2e6x+1
f'(x) = 2e6x+1
f'(x) = 12e6x+1
2
Find the derivative: f(x)=ln (x⁴+2)/(5x)
f'(x) = (3x4 - 2)/(x(x4+2))
f'(x) = x4 - 5x + 2
f'(x) = 4x3/5
f'(x) = (3x4 + 2)/(x(x4+2))
3
Find the equation of the tangent line to the function f(x) = e^2x- 1 at (2, 4)
y = 54.60x + 113.20
y = 2e2x
y = 72.90x - 186.40
y = 109.20x + 222.40
4
Find the derivative: f(x) = e^5x-3
f'(x) = e5x-3
f'(x) = 5e5x-3
f'(x) = e5
f'(x) = 1/6 e^6