Math  /  Word Problems

QuestionFind the meaning of f(5)=767f^{\prime}(5)=-767 for the function f(x)=9x310x2+8x+3f(x)=-9 x^{3}-10 x^{2}+8 x+3.

Studdy Solution
The derivative of a function at a certain point gives the slope of the tangent line to the function at that point. This means that f(5)=767f^{\prime}(5)=-767 is telling us the slope of the tangent line to the function f(x)f(x) at x=5x=5.
f(5)=767    The slope of the tangent line to the function f(x) at x=5 is 767f^{\prime}(5) = -767 \implies \text{The slope of the tangent line to the function } f(x) \text{ at } x=5 \text{ is } -767

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord