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Popular >

derivative of f(x)=cos^4(x)-2x^2

Solution

derivative of

f (x) = cos^{4} (x) - 2 x^{2}

Solution

- 4 cos^{3} (x) sin (x) - 4 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (cos^{4} (x)) = - 4 cos^{3} (x) sin (x)

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

= - 4 cos^{3} (x) sin (x) - 4 x

Popular Examples

derivative of (4u)^3 derivative of

(4 u)^{3}

d/(dq)((k*q^1*q^2)/(r^2))

\frac{d}{d q} (\frac{k \cdot q ^{1} \cdot q ^{2}}{r ^{2}})

derivative of f(x)=(5x+4)^2 derivative of

f (x) = (5 x + 4)^{2}

derivative of f(t)=(t^2-1)/((t^2+t-2))derivative of

f (t) = \frac{t ^{2} - 1}{( t ^{2} + t - 2 )}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=cos^4(x)-2x^2 ?
The derivative of f(x)=cos^4(x)-2x^2 is -4cos^3(x)sin(x)-4x
What is the first derivative of f(x)=cos^4(x)-2x^2 ?
The first derivative of f(x)=cos^4(x)-2x^2 is -4cos^3(x)sin(x)-4x