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

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

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

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

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derivative of

f (x) = sin (tan (5 x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int 2 2 x + 7 d x

\int (x x) d x

f (x) = - 24 π sin (π x)

y = x^{2} + 4 x^{3}

\frac{1}{y ( 1 - 0.0005 y )} d y = d x, y (0) = 1

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