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The function $f$ whose graph passes through $(4, - 20)$ and whose derivative is $\cos (\sqrt{4 - x})$ is given by

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4−xsin⁡4−x+(4−6x)cos⁡4−x

4−xsin⁡4−x+4−xcos⁡4−x−20

-2(4−xsin⁡4−x+cos⁡4−x)−18

−(2x+12)4−xsin⁡4−x+(4−6x)cos⁡4−x

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detailed solution

Correct option is C

f(x)=∫cos⁡4−xdx+C=−2∫tcos⁡tdt,t=4−x=−2(4−xsin⁡4−x+cos⁡4−x)+C−20=f(4)=−2+C⇒C=−18

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The function f whose graph passes through (4,-20) and whose derivative is cos⁡(4−x) is given by

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The function $f$ whose graph passes through $(4, - 20)$ and whose derivative is $\cos (\sqrt{4 - x})$ is given by