Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

enter image description here

I know $f'(1/2)= 1$ because the professor did that part of the problem in class. But unfortunately I just cannot see the logic to complete the rest of the problem. This problem is supposed to be really easy.

share|improve this question
1  
I had to rollback to include the image link, because the question/answer made no sense without it. –  Arkamis Nov 2 '12 at 18:04
add comment

2 Answers

Try applying the chain rule. For example, $\dfrac{d}{dx}{f\left(e^{x}\right)}=e^x\cdot f'(t)\lvert_{t=e^x}\;.$

share|improve this answer
add comment

The derivative of a function at a point is essentially the slope of the line that best approximates the function at that point. The idea to find the derivative of a function by its graph would be to pick a line that approximates the graph at a point very well. The derivative is then the slope of this line. To find a line that approximates a function well at some point, you can pick two points near the point you want to approximate the function at and draw a line through them. The derivative is the slope of the line that you get when you make the two points as close as possible to the point you approximating the function at. Try doing this with the graph you have and see what happens.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.