Practice Questions on Derivative of Sin Inverse x
Some practice questions on Derivative of Sin Inverse x
1. Find the derivative of the function f(x) = sin-1x + cos-1x
2. Find the derivative of the function f(x) = sin-1 √x
3. Find the value of f'(x), if f(x) = xsin-1x.
4. If y = sin-1 (sin2x), then find the value of dy/dx.
5. If y = x/sin-1x, find the value of dy/dx.
Derivative of Sin Inverse x
Derivative of sin inverse x is 1/√(1-x2). The derivative of any function gives the rate of change of the functional value with respect to the input variable. Sin inverse x is one of the inverse trigonometric functions. It is also represented as sin-1x. There are inverse trigonometric functions corresponding to each trigonometric function. The derivative of a function also helps in finding the slope of the tangent to the curve represented by the function at any point.
In this article, we will learn about the derivative of sin inverse x, methods to find it including the first principle of differentiation and implicit differentiation, solved examples, and practice problems.
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