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4-Turunan-fungsi-f-x-5-10x-2-4-8-adalah-f-1-x-Nilai-f-1-1-a-1-b-8-c-14-d-16-e-20-




Question Number 118366 by andilizhaa last updated on 17/Oct/20
4. Turunan fungsi f(x)=^5 (√((10x^2 −4)^8   ))  adalah f^1 (x). Nilai f^1 (1)=...  a. 1  b. 8  c. 14  d. 16  e. 20
$$\mathrm{4}.\:\mathrm{Turunan}\:\mathrm{fungsi}\:\mathrm{f}\left(\mathrm{x}\right)=^{\mathrm{5}} \sqrt{\left(\mathrm{10x}^{\mathrm{2}} −\mathrm{4}\right)^{\mathrm{8}} \:\:} \\ $$$$\mathrm{adalah}\:\mathrm{f}^{\mathrm{1}} \left(\mathrm{x}\right).\:\mathrm{Nilai}\:\mathrm{f}^{\mathrm{1}} \left(\mathrm{1}\right)=… \\ $$$${a}.\:\mathrm{1} \\ $$$${b}.\:\mathrm{8} \\ $$$${c}.\:\mathrm{14} \\ $$$$\mathrm{d}.\:\mathrm{16} \\ $$$$\mathrm{e}.\:\mathrm{20} \\ $$
Commented by bramlexs22 last updated on 17/Oct/20
translate in english
$${translate}\:{in}\:{english} \\ $$
Commented by bramlexs22 last updated on 17/Oct/20
do you meant f^1 (x) equal to (dy/dx) ?
$${do}\:{you}\:{meant}\:{f}^{\mathrm{1}} \left({x}\right)\:{equal}\:{to}\:\frac{{dy}}{{dx}}\:? \\ $$$$ \\ $$
Commented by andilizhaa last updated on 17/Oct/20
where the dy and dx?
$${where}\:{the}\:{dy}\:{and}\:{dx}? \\ $$
Commented by prakash jain last updated on 17/Oct/20
I think all options are wrong  f^1 (x)=(df/dx)=(8/5)(10x^2 −4)^(3/5) ×20x  x=1  f^1 (1)=32×(6)^(3/5)
$$\mathrm{I}\:\mathrm{think}\:\mathrm{all}\:\mathrm{options}\:\mathrm{are}\:\mathrm{wrong} \\ $$$${f}^{\mathrm{1}} \left({x}\right)=\frac{{df}}{{dx}}=\frac{\mathrm{8}}{\mathrm{5}}\left(\mathrm{10}{x}^{\mathrm{2}} −\mathrm{4}\right)^{\mathrm{3}/\mathrm{5}} ×\mathrm{20}{x} \\ $$$${x}=\mathrm{1} \\ $$$${f}^{\mathrm{1}} \left(\mathrm{1}\right)=\mathrm{32}×\left(\mathrm{6}\right)^{\mathrm{3}/\mathrm{5}} \\ $$

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