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Popular >

derivative of f(x)=sqrt(3+\sqrt{7x)}

Solution

derivative of

f (x) = 3 + 7 x

Solution

\frac{7}{4 x 3 + 7 x}

Solution steps

\frac{d}{d x} (3 + 7 x)

Apply the chain rule:

\frac{1}{2 3 + 7 x} \frac{d}{d x} (3 + 7 x)

= \frac{1}{2 3 + 7 x} \frac{d}{d x} (3 + 7 x)

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

= \frac{1}{2 3 + 7 x} \cdot \frac{7}{2 x}

Simplify

\frac{1}{2 3 + 7 x} \cdot \frac{7}{2 x} : \frac{7}{4 x 3 + 7 x}

= \frac{7}{4 x 3 + 7 x}

Popular Examples

tangent of f(x)=x^2+3,(4,19)tangent of

f (x) = x^{2} + 3, (4, 19)

e^{2x}sin(2y)dx+(2-e^{2x})sec(2y)dy=0

e^{2 x} sin (2 y) d x + (2 - e^{2 x}) sec (2 y) d y = 0

(\partial)/(\partial x)((ln(2x^2+5))/(y^2))

\frac{\partial}{\partial x} (\frac{ln ( 2 x ^{2} + 5 )}{y ^{2}})

(\partial}{\partial y}(\frac{y^2)/2)

\frac{\partial}{\partial y} (\frac{y ^{2}}{2})

derivative of (x^5/(1-x^4))

\frac{d}{d x} (\frac{x ^{5}}{1 - x ^{4}})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(3+\sqrt{7x)} ?
The derivative of f(x)=sqrt(3+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{3+\sqrt{7)sqrt(x)}}
What is the first derivative of f(x)=sqrt(3+\sqrt{7x)} ?
The first derivative of f(x)=sqrt(3+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{3+\sqrt{7)sqrt(x)}}