Solved example of inverse trigonometric functions differentiation
Taking the derivative of arcsine
The power of a product is equal to the product of it's factors raised to the same power
Calculate the power $4^2$
Simplify $\left(x^2\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $2$
Multiply $2$ times $2$
Multiply $2$ times $2$
The power of a product is equal to the product of it's factors raised to the same power
The derivative of a function multiplied by a constant ($4$) is equal to the constant times the derivative of the function
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
Subtract the values $2$ and $-1$
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
Multiply the fraction and term
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