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Product Rule and Chain Rule

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Differentiate y=ex2+1∗ln⁡(5∗x+2).y = e^{\sqrt{x^{2}+1}}*\ln(5*x+2).

A

ex2+1∗(x∗ln⁡(5∗x+2)x2+1−55∗x+2)e^{\sqrt{x^{2}+1}}*\left(\frac{x*\ln(5*x+2)}{\sqrt{x^{2}+1}}-\frac{5}{5*x+2}\right)

B

ex2+1∗(x∗ln⁡(5∗x+2)x2+1+55∗x+2)e^{\sqrt{x^{2}+1}}*\left(\frac{x*\ln(5*x+2)}{\sqrt{x^{2}+1}}+\frac{5}{5*x+2}\right)

C

ex2+1∗(x∗ln⁡(5∗x+2)x2+1+55∗x+2)e^{\sqrt{x^{2}+1}}*\left(\frac{x*\ln(5*x+2)}{x^{2}+1}+\frac{5}{5*x+2}\right)

D

ex2+1∗(ln⁡(5∗x+2)x2+1+55∗x+2)e^{\sqrt{x^{2}+1}}*\left(\frac{\ln(5*x+2)}{\sqrt{x^{2}+1}}+\frac{5}{5*x+2}\right)

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