What is the derivative of (sqrt(5x-1)+2^6) ?

The derivative of (sqrt(5x-1)+2^6) is (15(sqrt(5x-1)+2)^5)/(sqrt(5x-1))

What is the first derivative of (sqrt(5x-1)+2^6) ?

The first derivative of (sqrt(5x-1)+2^6) is (15(sqrt(5x-1)+2)^5)/(sqrt(5x-1))

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Popular >

\frac{d}{d x} ((5 x - 1 + 2)^{6})

\frac{15 ( 5 x - 1 + 2 ) ^{5}}{5 x - 1}

Solution steps

\frac{d}{d x} ((5 x - 1 + 2)^{6})

Apply the chain rule:

6 (5 x - 1 + 2)^{5} \frac{d}{d x} (5 x - 1 + 2)

= 6 (5 x - 1 + 2)^{5} \frac{d}{d x} (5 x - 1 + 2)

\frac{d}{d x} (5 x - 1 + 2) = \frac{5}{2 5 x - 1}

= 6 (5 x - 1 + 2)^{5} \frac{5}{2 5 x - 1}

Simplify

6 (5 x - 1 + 2)^{5} \frac{5}{2 5 x - 1} : \frac{15 ( 5 x - 1 + 2 ) ^{5}}{5 x - 1}

= \frac{15 ( 5 x - 1 + 2 ) ^{5}}{5 x - 1}

\int_{- 2}^{3} x^{2} + 4 d x

\int \frac{e \frac{1}{x}}{x ^{2}} d x

y^{^{'}} + 2 x y = 0

\int sec^{4} (1) d x

f (x) = \frac{4}{1 + x ^{2}}

What is the derivative of (sqrt(5x-1)+2^6) ?
The derivative of (sqrt(5x-1)+2^6) is (15(sqrt(5x-1)+2)^5)/(sqrt(5x-1))
What is the first derivative of (sqrt(5x-1)+2^6) ?
The first derivative of (sqrt(5x-1)+2^6) is (15(sqrt(5x-1)+2)^5)/(sqrt(5x-1))