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Popular >

derivative of y=arccos(2x+3)

Solution

derivative of

y = arccos (2 x + 3)

Solution

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

Solution steps

\frac{d}{d x} (arccos (2 x + 3))

Apply the chain rule:

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

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

\frac{d}{d x} (2 x + 3) = 2

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

Simplify

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

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

Popular Examples

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\frac{1}{( s + 1 ) ( s - 1 ) ^{2}}

x y^{^{'}} - y = x^{2} + x - 2

derivative of y=6sqrt(8x^2+7)derivative of

y = 6 8 x^{2} + 7

slope of y=xsqrt(x)slope

y = x x

(y-x+xycot(x))dx+xdy=0

(y - x + x y cot (x)) d x + x d y = 0

Frequently Asked Questions (FAQ)

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