What is the derivative of f(x)=sqrt(7+10x) ?

The derivative of f(x)=sqrt(7+10x) is 5/(sqrt(7+10x))

What is the first derivative of f(x)=sqrt(7+10x) ?

The first derivative of f(x)=sqrt(7+10x) is 5/(sqrt(7+10x))

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derivative of

f (x) = 7 + 10 x

\frac{5}{7 + 10 x}

Solution steps

\frac{d}{d x} (7 + 10 x)

Apply the chain rule:

\frac{1}{2 7 + 10 x} \frac{d}{d x} (7 + 10 x)

= \frac{1}{2 7 + 10 x} \frac{d}{d x} (7 + 10 x)

\frac{d}{d x} (7 + 10 x) = 10

= \frac{1}{2 7 + 10 x} \cdot 10

Simplify

\frac{1}{2 7 + 10 x} \cdot 10 : \frac{5}{7 + 10 x}

= \frac{5}{7 + 10 x}

y = x + 1, y = \frac{x ^{2}}{4}, x = 0, x = 1

y^{^{'}} = \frac{x ^{2} - 3 y ^{2}}{2 x y}

x \to 11 lim (3)

\frac{d}{d x} (3 x - 4 x^{\frac{5}{6}})

\int 3 ln (x^{2} - 1) d x

What is the derivative of f(x)=sqrt(7+10x) ?
The derivative of f(x)=sqrt(7+10x) is 5/(sqrt(7+10x))
What is the first derivative of f(x)=sqrt(7+10x) ?
The first derivative of f(x)=sqrt(7+10x) is 5/(sqrt(7+10x))