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Popular >

derivative of-4csc^2(x)+4sec^2(x)

Solution

derivative of

- 4 csc^{2} (x) + 4 sec^{2} (x)

Solution

8 csc^{2} (x) cot (x) + 8 sec^{2} (x) tan (x)

Solution steps

\frac{d}{d x} (- 4 csc^{2} (x) + 4 sec^{2} (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4 csc^{2} (x)) + \frac{d}{d x} (4 sec^{2} (x))

\frac{d}{d x} (4 csc^{2} (x)) = - 8 csc^{2} (x) cot (x)

\frac{d}{d x} (4 sec^{2} (x)) = 8 sec^{2} (x) tan (x)

= - (- 8 csc^{2} (x) cot (x)) + 8 sec^{2} (x) tan (x)

Simplify

= 8 csc^{2} (x) cot (x) + 8 sec^{2} (x) tan (x)

Popular Examples

derivative of y=(x^2+x+1)^{100}derivative of

y = (x^{2} + x + 1)^{100}

(\partial)/(\partial x)(15xye^{-x^2-y^2})

\frac{\partial}{\partial x} (15 x y e^{- x^{2} - y^{2}})

integral of x/((16+x^2)^{3/2)}

\int \frac{x}{( 16 + x ^{2} ) ^{\frac{3}{2}}} d x

parity y=ln(sqrt((1+sin(x))/(1-sin(x))))parity

y = ln (\frac{1 + sin ( x )}{1 - sin ( x )})

derivative of x(3x+1^5)

\frac{d}{d x} (x (3 x + 1)^{5})

Frequently Asked Questions (FAQ)

What is the derivative of-4csc^2(x)+4sec^2(x) ?
The derivative of-4csc^2(x)+4sec^2(x) is 8csc^2(x)cot(x)+8sec^2(x)tan(x)
What is the first derivative of-4csc^2(x)+4sec^2(x) ?
The first derivative of-4csc^2(x)+4sec^2(x) is 8csc^2(x)cot(x)+8sec^2(x)tan(x)