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

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

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

answer is C.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

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

Watch 3-min video & get full concept clarity