Question

1)If f(x)=tanh(2x)
then f'(x)=

2) If f(x)=x cosh x+7sin h x
then f'(x)=

3) If f(x)=e^cosh(7x)
then f'(x)=

4) If f(x)=sinh8x
then f'(x)=

5) If f(x)=tanh(8x)
then f'(x)=

Answer 1

1. We have f(x)= tanh(2x)

So we will get the derivative as

2. We have given that f(x)=xcoshx+7sinhx

So

f'(x)=xsinhx+coshx+7coshx

f'(x)=xsinhx+8coshx

3. We have given that

4. We have give that

f(x)=sinh(8x)

So

f'(x)=cosh(8x).8

f'(x)=8cosh(8x)

5. We have given that

f(x)=tanh(8x)

So

We have used the basic derivative rules