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: Find the derivatives of the function

f(x)=tanh3x5

Short Answer

Expert verified

dydx=12tanh3x5.3tanh2x5.sech2x5.5x4

Step by step solution

01

Step 1:Given information

The given expression isf(x)=tanh3x5

02

Step 2:Simplification

Given

f(x)=y=tanh3x5

Differentiating w.r.t x

=12tanh3x5.3tanh2x5.ddxtanhx5

=12tanh3x5.3tanh2x5.sech2x5.ddxx5

=1tanh3x5.3tanh2x5.sech2x5.5x4

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