What is the solution for derivative of f(4x^5)=8x^4 ?

The solution for derivative of f(4x^5)=8x^4 is f(x)= 2/5+(c_{1})/(4x^5)

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derivative of f(4x^5)=8x^4

\frac{d}{d x} (f (4 x^{5})) = 8 x^{4}

f (x) = \frac{2}{5} + \frac{c _{1}}{4 x ^{5}}

Solution steps

\frac{d}{d x} (f (x) (4 x^{5})) = 8 x^{4}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) \cdot 4 x^{5} = \int 8 x^{4} d x

\int 8 x^{4} d x = \frac{8 x ^{5}}{5} + c_{1}

f (x) \cdot 4 x^{5} = \frac{8 x ^{5}}{5} + c_{1}

Isolate

f (x) : f (x) = \frac{2}{5} + \frac{c _{1}}{4 x ^{5}}

f (x) = \frac{2}{5} + \frac{c _{1}}{4 x ^{5}}

cos (6 t)

\frac{( 2 x + 7 )}{x}

3 y^{^{''}} + 3 y^{^{'}} - y = 0

x^{3} y^{2} = x y^{3} + 6, (2, 1)

y = 5 x + ln (3 x)

What is the solution for derivative of f(4x^5)=8x^4 ?
The solution for derivative of f(4x^5)=8x^4 is f(x)= 2/5+(c_{1})/(4x^5)