What is the derivative of sqrt(5x)+(sqrt(7)/t) ?

The derivative of sqrt(5x)+(sqrt(7)/t) is (sqrt(5))/(2sqrt(x))

What is the first derivative of sqrt(5x)+(sqrt(7)/t) ?

The first derivative of sqrt(5x)+(sqrt(7)/t) is (sqrt(5))/(2sqrt(x))

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\frac{d}{d x} (5 x + \frac{7}{t})

\frac{5}{2 x}

Solution steps

\frac{d}{d x} (5 x + \frac{7}{t})

Treat

t

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 x) + \frac{d}{d x} (\frac{7}{t})

\frac{d}{d x} (5 x) = \frac{5}{2 x}

\frac{d}{d x} (\frac{7}{t}) = 0

= \frac{5}{2 x} + 0

Simplify

= \frac{5}{2 x}

\frac{d}{d x} (∣ sec (x) ∣)

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

(1 + x^{2})^{2}

\int (7 x^{5} + 6 x^{4} - 3 x^{3} - 9 x + 5) d x

\int \frac{x ^{2} - 64}{x ( x - 1 ) ^{2}} d x

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