What is the derivative of 3(-csc^2(x+sec^2(x))) ?

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

What is the first derivative of 3(-csc^2(x+sec^2(x))) ?

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

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

= 3 (- \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)

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

Simplify

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

y = 7 x^{2}, y^{2} = \frac{1}{7} x

\frac{1}{1 + x}

x \to 3 + lim (x^{2})

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

y^{^{''}} - y^{^{'}} - 2 y = - 6 t + 10 t^{2}

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