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Popular >

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

Solution

derivative of

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

derivative of-(2x(-x^2+27)/((x^2+9)^3))

\frac{d}{d x} (- \frac{2 x ( - x ^{2} + 27 )}{( x ^{2} + 9 ) ^{3}})

limit as x approaches 0+of x^{10x}

x \to 0 + lim (x^{10 x})

(\partial)/(\partial x)(x^5+y^5-5x^3y^3)

\frac{\partial}{\partial x} (x^{5} + y^{5} - 5 x^{3} y^{3})

limit as x approaches 1 of (x^2-1)/(x+2)

x \to 1 lim (\frac{x ^{2} - 1}{x + 2})

tangent of f(x)=9x^2,\at x=-2 tangent of

f (x) = 9 x^{2}, at x = - 2

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