What is the derivative of 5(-csc^2(x)+sec^2(x)) ?

The derivative of 5(-csc^2(x)+sec^2(x)) is 5(2csc^2(x)cot(x)+2sec^2(x)tan(x))

What is the first derivative of 5(-csc^2(x)+sec^2(x)) ?

The first derivative of 5(-csc^2(x)+sec^2(x)) is 5(2csc^2(x)cot(x)+2sec^2(x)tan(x))

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derivative of

5 (- csc^{2} (x) + sec^{2} (x))

5 (2 csc^{2} (x) cot (x) + 2 sec^{2} (x) tan (x))

Solution steps

\frac{d}{d x} (5 (- csc^{2} (x) + sec^{2} (x)))

Take the constant out:

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

= 5 \frac{d}{d x} (- csc^{2} (x) + sec^{2} (x))

Apply the Sum/Difference Rule:

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

= 5 (- \frac{d}{d x} (csc^{2} (x)) + \frac{d}{d x} (sec^{2} (x)))

\frac{d}{d x} (csc^{2} (x)) = - 2 csc^{2} (x) cot (x)

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

= 5 (- (- 2 csc^{2} (x) cot (x)) + 2 sec^{2} (x) tan (x))

Simplify

= 5 (2 csc^{2} (x) cot (x) + 2 sec^{2} (x) tan (x))

\frac{4}{u}

1 - e^{-, at}

\int \frac{1}{( x + 2 ) ^{3}} d x

f (x) = \frac{x}{x + 3}

\frac{\partial}{\partial x} (e^{ik x})

What is the derivative of 5(-csc^2(x)+sec^2(x)) ?
The derivative of 5(-csc^2(x)+sec^2(x)) is 5(2csc^2(x)cot(x)+2sec^2(x)tan(x))
What is the first derivative of 5(-csc^2(x)+sec^2(x)) ?
The first derivative of 5(-csc^2(x)+sec^2(x)) is 5(2csc^2(x)cot(x)+2sec^2(x)tan(x))