Consider the graph of $y=\ln x$y=lnx.
Is the function increasing or decreasing?
Is the gradient to the curve negative at any point on the curve?
Which of the following best completes this sentence?
"As $x$x increases, the gradient of the tangent..."
Which of the following best completes the sentence?
"As $x$x gets closer and closer to $0$0, the gradient of the tangent..."
We have found that the gradient function must be a strictly positive function, and it must also be a function that decreases at a decreasing rate. What kind of function could it be?
Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods
Apply differentiation methods in solving problems