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Popular >

derivative of y=sin(tan(4)x^5)

Solution

derivative of

y = sin (tan (4) x^{5})

Solution

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

Solution steps

\frac{d}{d x} (sin (tan (4) x^{5}))

Apply the chain rule:

cos (tan (4) x^{5}) \frac{d}{d x} (tan (4) x^{5})

= cos (tan (4) x^{5}) \frac{d}{d x} (tan (4) x^{5})

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

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

Popular Examples

integral of 1/(x^2-2x+101)

\int \frac{1}{x ^{2} - 2 x + 101} d x

integral of sec^5(4x)

\int sec^{5} (4 x) d x

(\partial)/(\partial x)(x^{x^2+y^2})

\frac{\partial}{\partial x} (x^{x^{2} + y^{2}})

(\partial)/(\partial x)(y^6cos(4x)*4)

\frac{\partial}{\partial x} (y^{6} cos (4 x) \cdot 4)

sum from n=1 to infinity of 9/(100^n)

n = 1 \sum \infty \frac{9}{10 0 ^{n}}

Frequently Asked Questions (FAQ)

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