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Popular >

derivative of arcsin(3x+arccos(3x))

Solution

\frac{d}{d x} (arcsin (3 x) + arccos (3 x))

Solution

0

Solution steps

\frac{d}{d x} (arcsin (3 x) + arccos (3 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (arcsin (3 x)) + \frac{d}{d x} (arccos (3 x))

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

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

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

Simplify

= 0

Popular Examples

(\partial)/(\partial x)(sin(θ))

\frac{\partial}{\partial x} (sin (θ))

derivative of arccot(x/8)

\frac{d}{d x} (arccot (\frac{x}{8}))

limit as x approaches 0 of (1+x)^{3/x}

x \to 0 lim ((1 + x)^{\frac{3}{x}})

y^{''}-5/t y^'+(18)/(t^2)y=0

y^{^{''}} - \frac{5}{t} y^{^{'}} + \frac{18}{t ^{2}} y = 0

integral of (2cot^2(x)-3tan^2(x))

\int (2 cot^{2} (x) - 3 tan^{2} (x)) d x

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(3x+arccos(3x)) ?
The derivative of arcsin(3x+arccos(3x)) is 0
What is the first derivative of arcsin(3x+arccos(3x)) ?
The first derivative of arcsin(3x+arccos(3x)) is 0