What is the derivative of sin(tan(x^5)) ?

The derivative of sin(tan(x^5)) is cos(tan(x^5))sec^2(x^5)*5x^4

What is the first derivative of sin(tan(x^5)) ?

The first derivative of sin(tan(x^5)) is cos(tan(x^5))sec^2(x^5)*5x^4

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\frac{d}{d x} (sin (tan (x^{5})))

cos (tan (x^{5})) sec^{2} (x^{5}) \cdot 5 x^{4}

Solution steps

\frac{d}{d x} (sin (tan (x^{5})))

Apply the chain rule:

cos (tan (x^{5})) \frac{d}{d x} (tan (x^{5}))

= cos (tan (x^{5})) \frac{d}{d x} (tan (x^{5}))

\frac{d}{d x} (tan (x^{5})) = sec^{2} (x^{5}) \cdot 5 x^{4}

= cos (tan (x^{5})) sec^{2} (x^{5}) \cdot 5 x^{4}

\frac{d y}{d x} = 3 - 0.0003 y

\frac{d}{d x} (3 x^{2} - 6 x + 5)

\int (\frac{1}{y} - 1) d y

y^{^{''}} + 4 y^{^{'}} + 6 y = 0, y (0) = 1, y^{^{'}} (0) = 0

What is the derivative of sin(tan(x^5)) ?
The derivative of sin(tan(x^5)) is cos(tan(x^5))sec^2(x^5)*5x^4
What is the first derivative of sin(tan(x^5)) ?
The first derivative of sin(tan(x^5)) is cos(tan(x^5))sec^2(x^5)*5x^4