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Popular >

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

Solution

\frac{d}{d x} (- 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

integral of 3/5 x^{1/3}

\int \frac{3}{5} x^{\frac{1}{3}} d x

derivative of (ax+be^x)

\frac{d}{d x} ((a x + b) e^{x})

tangent of f(x)=sqrt(x^2-x+10),\at x=3 tangent of

f (x) = x^{2} - x + 10, at x = 3

integral of 1/(v*sqrt(v^2-1))

\int \frac{1}{v \cdot v ^{2} - 1} d v

tangent of f(x)=2x^3,(-2,-16)tangent of

f (x) = 2 x^{3}, (- 2, - 16)

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)