Question

y=sin^-1(3sinx-4sin^3x) Find dy/dx w.r.t.x​

Answer 1

Step-by-step explanation:

We have,

$y = \sin^{ - 1} \{3 \sin(x) - 4 \sin^{3} (x) \}$

$\implies \: y = \sin^{ - 1} \{3 \sin(x) - 4 \sin^{3} (x) \}$

$\implies \: y = \sin^{ - 1} \{ \sin(3x) \}$

$\implies \: y = 3x$

$\implies \: \frac{dy}{dx} = 3$

Answer 2

y=3x

\begin{gathered} \implies \: \frac{dy}{dx} = 3 \\\end{gathered}

⟹

dx

dy

=3

dx

dy

=3