What is the derivative of y=arccos(5x) ?

The derivative of y=arccos(5x) is -5/(sqrt(1-25x^2))

What is the first derivative of y=arccos(5x) ?

The first derivative of y=arccos(5x) is -5/(sqrt(1-25x^2))

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derivative of

y = arccos (5 x)

- \frac{5}{1 - 25 x ^{2}}

Solution steps

\frac{d}{d x} (arccos (5 x))

Apply the chain rule:

- \frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

= - \frac{1}{1 - ( 5 x ) ^{2}} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= - \frac{1}{1 - ( 5 x ) ^{2}} \cdot 5

Simplify

- \frac{1}{1 - ( 5 x ) ^{2}} \cdot 5 : - \frac{5}{1 - 25 x ^{2}}

= - \frac{5}{1 - 25 x ^{2}}

\frac{d}{d x} (\frac{4}{x + 3})

\frac{d}{d x} (3 x - e^{x})

\frac{d y}{d x} - \frac{y}{x} = 1 - \frac{1}{x}

\frac{1}{s ^{2} + a ^{2}}

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

What is the derivative of y=arccos(5x) ?
The derivative of y=arccos(5x) is -5/(sqrt(1-25x^2))
What is the first derivative of y=arccos(5x) ?
The first derivative of y=arccos(5x) is -5/(sqrt(1-25x^2))