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Popular >

derivative of arcsin(4-3x)

Solution

\frac{d}{d x} (arcsin (4 - 3 x))

Solution

- \frac{3}{- 9 x ^{2} + 24 x - 15}

Solution steps

\frac{d}{d x} (arcsin (4 - 3 x))

Apply the chain rule:

\frac{1}{1 - ( 4 - 3 x ) ^{2}} \frac{d}{d x} (4 - 3 x)

= \frac{1}{1 - ( 4 - 3 x ) ^{2}} \frac{d}{d x} (4 - 3 x)

\frac{d}{d x} (4 - 3 x) = - 3

= \frac{1}{1 - ( 4 - 3 x ) ^{2}} (- 3)

Simplify

\frac{1}{1 - ( 4 - 3 x ) ^{2}} (- 3) : - \frac{3}{- 9 x ^{2} + 24 x - 15}

= - \frac{3}{- 9 x ^{2} + 24 x - 15}

Popular Examples

integral from 0 to 1/2 of 3/(1+4x^2)

\int_{0}^{\frac{1}{2}} \frac{3}{1 + 4 x ^{2}} d x

derivative of ((x-5xsqrt(x))/(sqrt(x)))

\frac{d}{d x} (\frac{( x - 5 x x )}{x})

t^2(dy)/(dt)+ty=6

t^{2} \frac{d y}{d t} + t y = 6

sum from n=0 to infinity of n/3 (2/3)^n

n = 0 \sum \infty \frac{n}{3} (\frac{2}{3})^{n}

integral of \sqrt[3]{x}-x

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(4-3x) ?
The derivative of arcsin(4-3x) is -3/(sqrt(-9x^2+24x-15))
What is the first derivative of arcsin(4-3x) ?
The first derivative of arcsin(4-3x) is -3/(sqrt(-9x^2+24x-15))