Thread: Answer confirmation needed for 2 differentiation questions

Could someone confirm these answers for me if they have time (I'm not sure about these ones because of the e's):

Question:

1.) Determine f'(0) for f(t)=2e^3t-5t
2.)Evaluate h'(e) for h(x)=sqrt of ln x

My answers:

1.) f'(t) = 6e^3t-5
f'(0) = 6-5
f'(0) = 1

2.) h'(x) = 1/2 * 1/x
h'(x) = 1/2x
h'(x) = 1/2e

Originally Posted by SportfreundeKeaneKent

Could someone confirm these answers for me if they have time (I'm not sure about these ones because of the e's):

Question:

1.) Determine f'(0) for f(t)=2e^3t-5t
2.)Evaluate h'(e) for h(x)=sqrt of ln x

My answers:

1.) f'(t) = 6e^3t-5
f'(0) = 6-5
f'(0) = 1

2.) h'(x) = 1/2 * 1/x
h'(x) = 1/2x
h'(x) = 1/2e

Number 1 is correct. 2 is not.

h(x) = sqrt(lnx)
h'(x) = 1/2(lnx)^(-1/2)*1/x
h'(e) = 1/2(lne)^(-1/2)*1/e = 1/2(1)/e = 1/(2e)