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

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

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

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

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derivative of

tan (sin (x^{3}))

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

Solution steps

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

Apply the chain rule:

sec^{2} (sin (x^{3})) \frac{d}{d x} (sin (x^{3}))

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

\frac{d}{d x} (sin (x^{3})) = cos (x^{3}) \cdot 3 x^{2}

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

\frac{d y}{d x} = - \frac{y + 1}{x}

f (x) = (x^{2} + 1)^{3} (x^{2} + 2)^{6}

\frac{d}{d x} (x lo g_{10} (\frac{2}{x}))

\int \frac{x ^{2} - 1}{x} d x

\int \frac{- x + 1}{x ^{2} + 1} d x

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