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Popular >

derivative of 4sec^2(x)-6sec^4(x)

Solution

derivative of

4 sec^{2} (x) - 6 sec^{4} (x)

Solution

8 sec^{2} (x) tan (x) - 24 sec^{4} (x) tan (x)

Solution steps

\frac{d}{d x} (4 sec^{2} (x) - 6 sec^{4} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sec^{2} (x)) - \frac{d}{d x} (6 sec^{4} (x))

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

\frac{d}{d x} (6 sec^{4} (x)) = 24 sec^{4} (x) tan (x)

= 8 sec^{2} (x) tan (x) - 24 sec^{4} (x) tan (x)

Popular Examples

y^{''}+1y=xe^{5x}

y^{^{''}} + 1 y = x e^{5 x}

(\partial)/(\partial x)(x^2sin(xy+z))

\frac{\partial}{\partial x} (x^{2} sin (x y + z))

2xy^'-2xy=-e^{-2x}y^3

2 x y^{^{'}} - 2 x y = - e^{- 2 x} y^{3}

derivative of (x+2)(x-5)(x-1)derivative of

(x + 2) (x - 5) (x - 1)

limit as x approaches 0 of 3(h+2x)2

x \to 0 lim (3 (h + 2 x) 2)

Frequently Asked Questions (FAQ)

What is the derivative of 4sec^2(x)-6sec^4(x) ?
The derivative of 4sec^2(x)-6sec^4(x) is 8sec^2(x)tan(x)-24sec^4(x)tan(x)
What is the first derivative of 4sec^2(x)-6sec^4(x) ?
The first derivative of 4sec^2(x)-6sec^4(x) is 8sec^2(x)tan(x)-24sec^4(x)tan(x)