What is d/(dr(h))((((r(h)+h)^4))/(h^4)) ?

The answer to d/(dr(h))((((r(h)+h)^4))/(h^4)) is (4(h+{r}(h))^2(3h d/(dh)({r}(h))-h-4{r}(h)))/(h^5)

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d/(dr(h))((((r(h)+h)^4))/(h^4))

\frac{d ^{2}}{d r ( h ) d h} \frac{( ( r ( h ) + h ) ^{4} )}{h ^{4}}

\frac{4 ( h + r ( h ) ) ^{2} ( 3 h \frac{d}{d h} ( r ( h ) ) - h - 4 r ( h ) )}{h ^{5}}

Solution steps

\frac{d ^{2}}{d r ( h ) d h} \frac{( ( r ( h ) + h ) ^{4} )}{h ^{4}}

\frac{d}{d r ( h )} (\frac{( r ( h ) + h ) ^{4}}{h ^{4}}) = \frac{4 ( r ( h ) + h ) ^{3}}{h ^{4}}

= \frac{d}{d h} (\frac{4 ( r ( h ) + h ) ^{3}}{h ^{4}})

\frac{d}{d h} (\frac{4 ( r ( h ) + h ) ^{3}}{h ^{4}}) = \frac{4 ( h + r ( h ) ) ^{2} ( 3 h \frac{d}{d h} ( r ( h ) ) - h - 4 r ( h ) )}{h ^{5}}

= \frac{4 ( h + r ( h ) ) ^{2} ( 3 h \frac{d}{d h} ( r ( h ) ) - h - 4 r ( h ) )}{h ^{5}}

\frac{( x + 2 )}{( y - 2 )}

sin (lo g_{10} (1 + x))

y = (1 - x^{3}) \cdot (1 + x^{3})

cos (7) x^{2}

(e^{x})^{2} + 2 ln (x^{e})

What is d/(dr(h))((((r(h)+h)^4))/(h^4)) ?
The answer to d/(dr(h))((((r(h)+h)^4))/(h^4)) is (4(h+{r}(h))^2(3h d/(dh)({r}(h))-h-4{r}(h)))/(h^5)