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Popular >

derivative of tan(x^2-4x^5)

Solution

\frac{d}{d x} (tan (x^{2} - 4 x^{5}))

Solution

sec^{2} (x^{2} - 4 x^{5}) (2 x - 20 x^{4})

Solution steps

\frac{d}{d x} (tan (x^{2} - 4 x^{5}))

Apply the chain rule:

sec^{2} (x^{2} - 4 x^{5}) \frac{d}{d x} (x^{2} - 4 x^{5})

= sec^{2} (x^{2} - 4 x^{5}) \frac{d}{d x} (x^{2} - 4 x^{5})

\frac{d}{d x} (x^{2} - 4 x^{5}) = 2 x - 20 x^{4}

= sec^{2} (x^{2} - 4 x^{5}) (2 x - 20 x^{4})

Graph

Popular Examples

derivative of 2x^{1/2}+6x^{1/3}-2x^{3/2}

\frac{d}{d x} (2 x^{\frac{1}{2}} + 6 x^{\frac{1}{3}} - 2 x^{\frac{3}{2}})

derivative of (sin(5x))/x derivative of

\frac{sin ( 5 x )}{x}

(y + x) y^{^{'}} = x - y

(dy)/(dt)-2ty=-12t^2e^{t^2}

\frac{d y}{d t} - 2 t y = - 12 t^{2} e^{t^{2}}

integral of (x^4-x^2+2)/(x^2(x-1))

\int \frac{x ^{4} - x ^{2} + 2}{x ^{2} ( x - 1 )} d x

Frequently Asked Questions (FAQ)

What is the derivative of tan(x^2-4x^5) ?
The derivative of tan(x^2-4x^5) is sec^2(x^2-4x^5)(2x-20x^4)
What is the first derivative of tan(x^2-4x^5) ?
The first derivative of tan(x^2-4x^5) is sec^2(x^2-4x^5)(2x-20x^4)