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Popular >

derivative of sin^2(tan(4x))

Solution

\frac{d}{d x} (sin^{2} (tan (4 x)))

Solution

8 sec^{2} (4 x) sin (tan (4 x)) cos (tan (4 x))

Solution steps

\frac{d}{d x} (sin^{2} (tan (4 x)))

Apply the chain rule:

2 sin (tan (4 x)) \frac{d}{d x} (sin (tan (4 x)))

= 2 sin (tan (4 x)) \frac{d}{d x} (sin (tan (4 x)))

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

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

Simplify

= 8 sec^{2} (4 x) sin (tan (4 x)) cos (tan (4 x))

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\int tan (θ) sec (θ) d θ

y^{^{'}} = e^{4 x + y}

(\partial)/(\partial x)((-x)/(x^2+y^2))

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

limit as x approaches 2-of 1/((x-2)^2)

x \to 2 - lim (\frac{1}{( x - 2 ) ^{2}})

(dy)/(dx)=4x-5y

\frac{d y}{d x} = 4 x - 5 y

Frequently Asked Questions (FAQ)

What is the derivative of sin^2(tan(4x)) ?
The derivative of sin^2(tan(4x)) is 8sec^2(4x)sin(tan(4x))cos(tan(4x))
What is the first derivative of sin^2(tan(4x)) ?
The first derivative of sin^2(tan(4x)) is 8sec^2(4x)sin(tan(4x))cos(tan(4x))