What is the derivative of In(-x^2+6x) ?

The derivative of In(-x^2+6x) is In(-2x+6)

What is the first derivative of In(-x^2+6x) ?

The first derivative of In(-x^2+6x) is In(-2x+6)

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\frac{d}{d x} (I n (- x^{2} + 6 x))

I n (- 2 x + 6)

Solution steps

\frac{d}{d x} (I n (- x^{2} + 6 x))

Treat

n, I

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= I n \frac{d}{d x} (- x^{2} + 6 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= I n (- \frac{d}{d x} (x^{2}) + \frac{d}{d x} (6 x))

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (6 x) = 6

= I n (- 2 x + 6)

x \to 1 + lim (\frac{x + 9}{x + 2})

\frac{\partial}{\partial x} (4 y x^{3} - 12 y^{2} x^{2})

s e^{- s}

x \to 0 + lim (x^{\frac{3}{x}})

\frac{d}{d x} (cos (6 x^{3} - 4))

What is the derivative of In(-x^2+6x) ?
The derivative of In(-x^2+6x) is In(-2x+6)
What is the first derivative of In(-x^2+6x) ?
The first derivative of In(-x^2+6x) is In(-2x+6)