What is the derivative of f(x)=tan^3(x+csc(x)) ?

The derivative of f(x)=tan^3(x+csc(x)) is 3tan^2(x+csc(x))sec^2(x+csc(x))(1-cot(x)csc(x))

What is the first derivative of f(x)=tan^3(x+csc(x)) ?

The first derivative of f(x)=tan^3(x+csc(x)) is 3tan^2(x+csc(x))sec^2(x+csc(x))(1-cot(x)csc(x))

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derivative of

f (x) = tan^{3} (x + csc (x))

3 tan^{2} (x + csc (x)) sec^{2} (x + csc (x)) (1 - cot (x) csc (x))

Solution steps

\frac{d}{d x} (tan^{3} (x + csc (x)))

Apply the chain rule:

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

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

\frac{d}{d x} (tan (x + csc (x))) = sec^{2} (x + csc (x)) (1 - cot (x) csc (x))

= 3 (tan (x + csc (x)))^{2} sec^{2} (x + csc (x)) (1 - cot (x) csc (x))

Simplify

= 3 tan^{2} (x + csc (x)) sec^{2} (x + csc (x)) (1 - cot (x) csc (x))

y = 4 - x^{2}

\int 9 x^{2} - 4 x + 3 d x

p \to 4 lim (p^{2} + p + 5)

What is the derivative of f(x)=tan^3(x+csc(x)) ?
The derivative of f(x)=tan^3(x+csc(x)) is 3tan^2(x+csc(x))sec^2(x+csc(x))(1-cot(x)csc(x))
What is the first derivative of f(x)=tan^3(x+csc(x)) ?
The first derivative of f(x)=tan^3(x+csc(x)) is 3tan^2(x+csc(x))sec^2(x+csc(x))(1-cot(x)csc(x))