What is the derivative of arccos(3x-2sinh(x/5)) ?

The derivative of arccos(3x-2sinh(x/5)) is -3/(sqrt(1-9x^2))-2/5 cosh(x/5)

What is the first derivative of arccos(3x-2sinh(x/5)) ?

The first derivative of arccos(3x-2sinh(x/5)) is -3/(sqrt(1-9x^2))-2/5 cosh(x/5)

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\frac{d}{d x} (arccos (3 x) - 2 sinh (\frac{x}{5}))

- \frac{3}{1 - 9 x ^{2}} - \frac{2}{5} cosh (\frac{x}{5})

Solution steps

\frac{d}{d x} (arccos (3 x) - 2 sinh (\frac{x}{5}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (arccos (3 x)) - \frac{d}{d x} (2 sinh (\frac{x}{5}))

\frac{d}{d x} (arccos (3 x)) = - \frac{3}{1 - 9 x ^{2}}

\frac{d}{d x} (2 sinh (\frac{x}{5})) = \frac{2}{5} cosh (\frac{x}{5})

= - \frac{3}{1 - 9 x ^{2}} - \frac{2}{5} cosh (\frac{x}{5})

\int \frac{1}{( x ^{2} - 2 x + 1 ) ^{2}} d x

y = - x^{3}, (2, - 8)

\frac{d y}{d x} = - (1 + y)^{4}

y^{^{''}} = sin (3 x - \frac{π}{3})

7 e^{- 4 x}

What is the derivative of arccos(3x-2sinh(x/5)) ?
The derivative of arccos(3x-2sinh(x/5)) is -3/(sqrt(1-9x^2))-2/5 cosh(x/5)
What is the first derivative of arccos(3x-2sinh(x/5)) ?
The first derivative of arccos(3x-2sinh(x/5)) is -3/(sqrt(1-9x^2))-2/5 cosh(x/5)