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Popular >

derivative of (7x+sqrt(x^2+3)^6)

Solution

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

Solution

6 (7 x + x^{2} + 3)^{5} (7 + \frac{x}{x ^{2} + 3})

Solution steps

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

Apply the chain rule:

6 (7 x + x^{2} + 3)^{5} \frac{d}{d x} (7 x + x^{2} + 3)

= 6 (7 x + x^{2} + 3)^{5} \frac{d}{d x} (7 x + x^{2} + 3)

\frac{d}{d x} (7 x + x^{2} + 3) = 7 + \frac{x}{x ^{2} + 3}

= 6 (7 x + x^{2} + 3)^{5} (7 + \frac{x}{x ^{2} + 3})

Popular Examples

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\frac{sin ^{5} ( e ^{2 x} )}{cos ( 7 ^{6 x} )}

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\int 2 x - 3 x^{2} d x

d/(dt)(cos(7t))

\frac{d}{d t} (cos (7 t))

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

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

(\partial)/(\partial x)(x^4-yx^2+2y^3)

\frac{\partial}{\partial x} (x^{4} - y x^{2} + 2 y^{3})

Frequently Asked Questions (FAQ)

What is the derivative of (7x+sqrt(x^2+3)^6) ?
The derivative of (7x+sqrt(x^2+3)^6) is 6(7x+sqrt(x^2+3))^5(7+x/(sqrt(x^2+3)))
What is the first derivative of (7x+sqrt(x^2+3)^6) ?
The first derivative of (7x+sqrt(x^2+3)^6) is 6(7x+sqrt(x^2+3))^5(7+x/(sqrt(x^2+3)))