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Popular >

derivative of (x^3-2tan(x))

Solution

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

Solution

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

Solution steps

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

Apply the Product Rule:

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

f = x^{3} - 2, g = tan (x)

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

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

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

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

Popular Examples

integral of (x^6e^{x^7})

\int (x^{6} e^{x^{7}}) d x

integral of (8x+12)/(x*(x^2+4))

\int \frac{8 x + 12}{x \cdot ( x ^{2} + 4 )} d x

(\partial)/(\partial x)(xsqrt(1+y^3))

\frac{\partial}{\partial x} (x 1 + y^{3})

limit as x approaches 1 of (2-2/x)^2

x \to 1 lim ((2 - \frac{2}{x})^{2})

tangent of 3x^2-1,\at x=-2 tangent of

3 x^{2} - 1, at x = - 2

Frequently Asked Questions (FAQ)

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