What is the derivative of y=(7ln(x))^2 ?

The derivative of y=(7ln(x))^2 is (98ln(x))/x

What is the first derivative of y=(7ln(x))^2 ?

The first derivative of y=(7ln(x))^2 is (98ln(x))/x

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derivative of

y = (7 ln (x))^{2}

\frac{98 ln ( x )}{x}

Solution steps

\frac{d}{d x} ((7 ln (x))^{2})

Simplify

(7 ln (x))^{2} : 49 ln^{2} (x)

= \frac{d}{d x} (49 ln^{2} (x))

Take the constant out:

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

= 49 \frac{d}{d x} (ln^{2} (x))

Apply the chain rule:

2 ln (x) \frac{d}{d x} (ln (x))

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

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= 49 \cdot 2 ln (x) \frac{1}{x}

Simplify

49 \cdot 2 ln (x) \frac{1}{x} : \frac{98 ln ( x )}{x}

= \frac{98 ln ( x )}{x}

\frac{\partial}{\partial x} (x^{e})

\int_{- \infty}^{0} z e^{9 z} d z

\int \frac{x}{( x + t ) ^{2}}

\frac{d}{d x} (4 arcsin (\frac{2 x - 4}{3 x + 2}))

x \to 1 lim (\frac{3 - \frac{3}{x}}{x - 1})

What is the derivative of y=(7ln(x))^2 ?
The derivative of y=(7ln(x))^2 is (98ln(x))/x
What is the first derivative of y=(7ln(x))^2 ?
The first derivative of y=(7ln(x))^2 is (98ln(x))/x