Find the derivatives of the following function with respect to x and simplify the result. y=e^{x}\sin h x

Amari Flowers

Amari Flowers

Answered question

2021-05-08

Find the derivatives of the following function with respect to x and simplify the result.
y=exsinhx

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-05-09Added 107 answers

Step 1
y=exsinh(x)
Apply product rule for taking derivative
y=uv
y=uv+v(u)
derivative of sinh(x) is cosh(x)
Step 2
y=exsinh(x)
y=exsinh(x)+excosh(x)
y=ex(sinh(x)+cosh(x))

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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