What is the derivative of F(x)=sin(tan(3x)) ?

The derivative of F(x)=sin(tan(3x)) is cos(tan(3x))sec^2(3x)*3

What is the first derivative of F(x)=sin(tan(3x)) ?

The first derivative of F(x)=sin(tan(3x)) is cos(tan(3x))sec^2(3x)*3

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derivative of

F (x) = sin (tan (3 x))

cos (tan (3 x)) sec^{2} (3 x) \cdot 3

Solution steps

\frac{d}{d x} (sin (tan (3 x)))

Apply the chain rule:

cos (tan (3 x)) \frac{d}{d x} (tan (3 x))

= cos (tan (3 x)) \frac{d}{d x} (tan (3 x))

\frac{d}{d x} (tan (3 x)) = sec^{2} (3 x) \cdot 3

= cos (tan (3 x)) sec^{2} (3 x) \cdot 3

\frac{d}{d x} (ln (3 x + 1))

\frac{d}{d x} (sin^{5} (2 x^{5} - e^{- 2 x}))

y = x^{3} - 3 x^{2} + 1

f (x) = - 7

y^{^{'}} - \frac{1}{x} y = 9

What is the derivative of F(x)=sin(tan(3x)) ?
The derivative of F(x)=sin(tan(3x)) is cos(tan(3x))sec^2(3x)*3
What is the first derivative of F(x)=sin(tan(3x)) ?
The first derivative of F(x)=sin(tan(3x)) is cos(tan(3x))sec^2(3x)*3