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Popular >

derivative of 4x^2tan(x)

Solution

derivative of

4 x^{2} tan (x)

Solution

4 (2 x tan (x) + sec^{2} (x) x^{2})

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = tan (x)

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

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

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

= 4 (2 x tan (x) + sec^{2} (x) x^{2})

Popular Examples

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tangent of f(x)=-4sin(x),\at x=pi tangent of

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\int \frac{sech ^{2} ( x )}{tanh ( x )} d x

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\int_{0}^{1} (x^{2} + 5) e^{- x} d x

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\int \frac{1000}{100 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 4x^2tan(x) ?
The derivative of 4x^2tan(x) is 4(2xtan(x)+sec^2(x)x^2)
What is the first derivative of 4x^2tan(x) ?
The first derivative of 4x^2tan(x) is 4(2xtan(x)+sec^2(x)x^2)