What is the derivative of 3tan(x)-4cot(x_{7})x^2 ?

The derivative of 3tan(x)-4cot(x_{7})x^2 is 3sec^2(x)-8xcot(x_{7})

What is the first derivative of 3tan(x)-4cot(x_{7})x^2 ?

The first derivative of 3tan(x)-4cot(x_{7})x^2 is 3sec^2(x)-8xcot(x_{7})

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derivative of

3 tan (x) - 4 cot (x_{7}) x^{2}

3 sec^{2} (x) - 8 x cot (x_{7})

Solution steps

\frac{d}{d x} (3 tan (x) - 4 cot (x_{7}) x^{2})

Treat

x_{7}

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 tan (x)) - \frac{d}{d x} (4 cot (x_{7}) x^{2})

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

\frac{d}{d x} (4 cot (x_{7}) x^{2}) = 8 x cot (x_{7})

= 3 sec^{2} (x) - 8 x cot (x_{7})

What is the derivative of 3tan(x)-4cot(x_{7})x^2 ?
The derivative of 3tan(x)-4cot(x_{7})x^2 is 3sec^2(x)-8xcot(x_{7})
What is the first derivative of 3tan(x)-4cot(x_{7})x^2 ?
The first derivative of 3tan(x)-4cot(x_{7})x^2 is 3sec^2(x)-8xcot(x_{7})