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Popular >

derivative of 4tan(x^3+2x^2)

Solution

derivative of

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

Solution

4 sec^{2} (x^{3} + 2 x^{2}) (3 x^{2} + 4 x)

Solution steps

\frac{d}{d x} (4 tan (x^{3} + 2 x^{2}))

Take the constant out:

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

= 4 \frac{d}{d x} (tan (x^{3} + 2 x^{2}))

Apply the chain rule:

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

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

\frac{d}{d x} (x^{3} + 2 x^{2}) = 3 x^{2} + 4 x

= 4 sec^{2} (x^{3} + 2 x^{2}) (3 x^{2} + 4 x)

Popular Examples

integral of 1/(x^2+6x+34)

\int \frac{1}{x ^{2} + 6 x + 34} d x

integral from 1 to 3 of (ln(x))/x

\int_{1}^{3} \frac{ln ( x )}{x} d x

slope of (2x+2y)^3=8x^3+8y^3(-1.1)slope

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3} (- 1.1)

integral from 1 to 5 of 5/x

\int_{1}^{5} \frac{5}{x} d x

derivative of 3/(4x+6)+4x^2 derivative of

\frac{3}{4 x + 6} + 4 x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of 4tan(x^3+2x^2) ?
The derivative of 4tan(x^3+2x^2) is 4sec^2(x^3+2x^2)(3x^2+4x)
What is the first derivative of 4tan(x^3+2x^2) ?
The first derivative of 4tan(x^3+2x^2) is 4sec^2(x^3+2x^2)(3x^2+4x)