What is the derivative of-3tan^3(sin(x)) ?

The derivative of-3tan^3(sin(x)) is -9tan^2(sin(x))sec^2(sin(x))cos(x)

What is the first derivative of-3tan^3(sin(x)) ?

The first derivative of-3tan^3(sin(x)) is -9tan^2(sin(x))sec^2(sin(x))cos(x)

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Popular >

\frac{d}{d x} (- 3 tan^{3} (sin (x)))

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

Solution steps

\frac{d}{d x} (- 3 tan^{3} (sin (x)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 3 \frac{d}{d x} (tan^{3} (sin (x)))

Apply the chain rule:

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

= 3 (tan (sin (x)))^{2} \frac{d}{d x} (tan (sin (x)))

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

= - 3 \cdot 3 (tan (sin (x)))^{2} sec^{2} (sin (x)) cos (x)

Simplify

= - 9 tan^{2} (sin (x)) sec^{2} (sin (x)) cos (x)

(6 + x) (\frac{d y}{d x}) = 9 y

\frac{d}{d t} (e^{t} sin (t))

400 x^{10} + 40 x^{5} + 1

y^{^{'}} = \frac{4 sec ( y )}{( x - 6 ) ^{2}}

\frac{( x ^{2} - a ) ^{3}}{a x}

What is the derivative of-3tan^3(sin(x)) ?
The derivative of-3tan^3(sin(x)) is -9tan^2(sin(x))sec^2(sin(x))cos(x)
What is the first derivative of-3tan^3(sin(x)) ?
The first derivative of-3tan^3(sin(x)) is -9tan^2(sin(x))sec^2(sin(x))cos(x)