What is the derivative of x^2-25*ln(x^2) ?

The derivative of x^2-25*ln(x^2) is 2x-(50)/x

What is the first derivative of x^2-25*ln(x^2) ?

The first derivative of x^2-25*ln(x^2) is 2x-(50)/x

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\frac{d}{d x} (x^{2} - 25 \cdot ln (x^{2}))

2 x - \frac{50}{x}

Solution steps

\frac{d}{d x} (x^{2} - 25 ln (x^{2}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (25 ln (x^{2}))

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

\frac{d}{d x} (25 ln (x^{2})) = \frac{50}{x}

= 2 x - \frac{50}{x}

\int 2 t^{3} (t^{4} - 3)^{5} d t

g (x) = \frac{arcsin ( 3 x )}{x}

f (x) = (x + 2)^{2}

f (x) = \frac{6 x ^{2} + 6 x + 2}{x}

x \to - \infty lim (- 3 x^{3} + x)

What is the derivative of x^2-25*ln(x^2) ?
The derivative of x^2-25*ln(x^2) is 2x-(50)/x
What is the first derivative of x^2-25*ln(x^2) ?
The first derivative of x^2-25*ln(x^2) is 2x-(50)/x