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Popular >

derivative of f(x)=arccos(-3x)

Solution

derivative of

f (x) = arccos (- 3 x)

Solution

\frac{3}{1 - 9 x ^{2}}

Solution steps

\frac{d}{d x} (arccos (- 3 x))

Apply the chain rule:

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

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

\frac{d}{d x} (- 3 x) = - 3

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

Simplify

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

= \frac{3}{1 - 9 x ^{2}}

Popular Examples

derivative of {f}(x(x^2)+({f}(x))^2)

\frac{d}{d x} (f (x) (x^{2}) + (f (x))^{2})

(\partial)/(\partial x)(1/(sqrt(x^2-y^2)))

\frac{\partial}{\partial x} (\frac{1}{x ^{2} - y ^{2}})

integral of 9y^2

\int 9 y^{2} d y

integral from 0 to 5 of 1/(sqrt(25+t^2))

\int_{0}^{5} \frac{1}{25 + t ^{2}} d t

tangent of y=sin(x)cos(x)tangent of

y = sin (x) cos (x)

Frequently Asked Questions (FAQ)

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