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Popular >

derivative of arccos(x^2)

Solution

\frac{d}{d x} (arccos (x^{2}))

Solution

- \frac{2 x}{1 - x ^{4}}

Solution steps

\frac{d}{d x} (arccos (x^{2}))

Apply the chain rule:

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

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

\frac{d}{d x} (x^{2}) = 2 x

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

Simplify

- \frac{1}{1 - ( x ^{2} ) ^{2}} \cdot 2 x : - \frac{2 x}{1 - x ^{4}}

= - \frac{2 x}{1 - x ^{4}}

Graph

Popular Examples

integral from 0 to 1 of (2x)/(e^{2x)}

\int_{0}^{1} \frac{2 x}{e ^{2 x}} d x

tangent of y=2x^3+3x^2-12x+7 tangent of

y = 2 x^{3} + 3 x^{2} - 12 x + 7

derivative of e^{2x}(2x+1)

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

limit as h approaches 0 of (sqrt(49+h)-7)/h

h \to 0 lim (\frac{49 + h - 7}{h})

laplacetransform 2*sin(3t)laplace transform

2 \cdot sin (3 t)

Frequently Asked Questions (FAQ)

What is the derivative of arccos(x^2) ?
The derivative of arccos(x^2) is -(2x)/(sqrt(1-x^4))
What is the first derivative of arccos(x^2) ?
The first derivative of arccos(x^2) is -(2x)/(sqrt(1-x^4))