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Popular >

derivative of f(x)=tan^2(sin(x))

Solution

derivative of

f (x) = tan^{2} (sin (x))

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Popular Examples

derivative of sqrt(sin^3(log_{10)(x)})

\frac{d}{d x} (sin^{3} (lo g_{10} (x)))

derivative of x=7t^2-t+4 derivative of

x = 7 t^{2} - t + 4

derivative of h(t)=(3+14t-5t^2)derivative of

h (t) = (3 + 14 t - 5 t^{2})

extreme f(q,r)=((q-a))/(r^2)extreme points

f (q, r) = \frac{( q - a )}{r ^{2}}

derivative of y=(x^2)/((x+1))derivative of

y = \frac{x ^{2}}{( x + 1 )}

Frequently Asked Questions (FAQ)

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