What is the derivative of ln(xcos(t)) ?

The derivative of ln(xcos(t)) is (cos(t))/x

What is the first derivative of ln(xcos(t)) ?

The first derivative of ln(xcos(t)) is (cos(t))/x

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\frac{d}{d x} (ln (x) cos (t))

\frac{cos ( t )}{x}

Solution steps

\frac{d}{d x} (ln (x) cos (t))

Treat

t

as a constant

Take the constant out:

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

= cos (t) \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= cos (t) \frac{1}{x}

Simplify

cos (t) \frac{1}{x} : \frac{cos ( t )}{x}

= \frac{cos ( t )}{x}

\frac{d}{d x} (cot (e^{2 x}))

y^{^{''}} - 6 y^{^{'}} = 0

x \to 2 lim (3 x^{3} - 7 x^{2} + 3)

- 9 x^{2} y + \frac{d y}{d x} = - 2 x^{2}

\frac{( 2 x + 1 )}{x - 4}

What is the derivative of ln(xcos(t)) ?
The derivative of ln(xcos(t)) is (cos(t))/x
What is the first derivative of ln(xcos(t)) ?
The first derivative of ln(xcos(t)) is (cos(t))/x