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Find the differential of the function $y=\left(\sin ^{-1} x\right)^{3}.$
$d y=\frac{3\left(\sin ^{-1} x\right)^{2}}{\sqrt{1-x^{2}}} d x$
Calculus 1 / AB
Chapter 27
Differentiation of Transcendental Functions
Section 3
Derivatives of the Inverse Trigonometric Functions
Derivatives
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this question asks is to solve the given differential equation. The first step would be two Take the integral of each separate terms. So why do you why, plus the integral of sine of why do you? Why is equivalent to the integral of axe de ax plus the integral of X cubed de axe? So the integral of why do you why we increase the expert by one divide by the new exponents And then we have negative coast Sign of why And then we increased the expert by one divided by the new exponents and they do it again increased the expert from 3 to 4. This simplifies to why squared is too co sign of why plus X squared plus X to the fourth over to and then plus C o k. That's
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