Use the rules for derivatives to find the derivative of each function defined as follows. y=2\tan 5x

sodni3

sodni3

Answered question

2021-05-25

Use the rules for derivatives to find the derivative of each function defined as follows. y=2tan5x

Answer & Explanation

Elberte

Elberte

Skilled2021-05-26Added 95 answers

Step 1
Consider the provided function,
y=2tan5x
Use the rules for derivatives to find the derivative.
Now, we differentiate with respect to x.
ddx(y)=ddx(2tan5x)
First, we take the constant out side the provided function.
ddx(y)=2ddx(tan5x)
Step 2
Now, apply the chain rule of the derivative ddx(f(g(x)))=f(g(x))g(x))
And use the common derivative formula, ddx(tanx)=sec2x
So,
ddx(y)=2ddx(tan5x)
=2(sec2(5x)ddx(5x))
=2(sec2(5x)5)
=10sec2(5x)
Hence.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-03-24Added 2605 answers

Answer is given below (on video)

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