Find the first and second derivatives. y=\frac{7x^{5}}{5}-2x+9e^{x} \frac{dy}{dx}=

Tahmid Knox

Tahmid Knox

Answered question

2021-06-08

Find the first and second derivatives.
y=7x552x+9ex
dydx=

Answer & Explanation

Theodore Schwartz

Theodore Schwartz

Skilled2021-06-09Added 99 answers

Step 1
The given function is y=7x552x+9ex
Obtain the first derivative as follows.
dydx=ddx(7x552x+9ex)
=35x452+9ex
=7x42+9ex
Step 2
Obtain the second derivative as follows.
d2ydx2=ddx(dydx)
ddx(7x42+9ex)
=28x3+9ex
Thus, the first derivative is dydx=7x42+9ex
The second derivative is d2ydx2=28x3+9ex
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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