What is the derivative of 77sqrt(p+20)-360,\at 75 ?

The derivative of 77sqrt(p+20)-360,\at 75 is (77)/(2sqrt(p+20))

What is the first derivative of 77sqrt(p+20)-360,\at 75 ?

The first derivative of 77sqrt(p+20)-360,\at 75 is (77)/(2sqrt(p+20))

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derivative of

77 p + 20 - 360, at 75

\frac{77}{2 p + 20}

Solution steps

\frac{d}{d p} (77 p + 20 - 360)

Apply the Sum/Difference Rule:

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

= \frac{d}{d p} (77 p + 20) - \frac{d}{d p} (360)

\frac{d}{d p} (77 p + 20) = \frac{77}{2 p + 20}

\frac{d}{d p} (360) = 0

= \frac{77}{2 p + 20} - 0

Simplify

= \frac{77}{2 p + 20}

\frac{d}{d x} (arctan (3 x + 2))

\frac{1}{5 + 2 x}

f (t) = \frac{5 t + 300}{t ^{2} + 25}

\int \frac{2 e ^{2 x}}{e ^{2 x} + 8 e ^{x} + 15} d x

\int \frac{1}{x ^{2} x ^{2} + 5} d x

What is the derivative of 77sqrt(p+20)-360,\at 75 ?
The derivative of 77sqrt(p+20)-360,\at 75 is (77)/(2sqrt(p+20))
What is the first derivative of 77sqrt(p+20)-360,\at 75 ?
The first derivative of 77sqrt(p+20)-360,\at 75 is (77)/(2sqrt(p+20))