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Popular >

derivative of sin^2(x)+tan^3(x)

Solution

derivative of

sin^{2} (x) + tan^{3} (x)

Solution

sin (2 x) + 3 tan^{2} (x) sec^{2} (x)

Solution steps

\frac{d}{d x} (sin^{2} (x) + tan^{3} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin^{2} (x)) + \frac{d}{d x} (tan^{3} (x))

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

\frac{d}{d x} (tan^{3} (x)) = 3 tan^{2} (x) sec^{2} (x)

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

Popular Examples

d/(dt)((500)/((t+2))-(1000)/(((t+2)^2)))

\frac{d}{d t} \frac{500}{( t + 2 )} - \frac{1000}{( ( t + 2 ) ^{2} )}

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\frac{x ^{2}}{( e ^{x} - 1 ) ^{2}}

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f (x) = \frac{( 0.8 - 0.3 x )}{x}

derivative of x^3+4x^2+3 derivative of

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d/(da)(cos^4(a)+sin^4(a))

\frac{d}{d a} (cos^{4} (a) + sin^{4} (a))

Frequently Asked Questions (FAQ)

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