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Solve D/dx (ln ( 1/cos(x) + tan (x) ) As always, we approach with a substitution method that we would normally use for differentiating ln (x). So, we try differentiate ln (t) with t= 1/cos(x) + tan(x)So w...

To do this we must multiply each of the individual terms inside the brackets by the outside terms. Be cautious of the negative term and its corresponding sign. We will go over the method in the uploaded f...

Plot the graphs y=x^2+3 and y=2-4x. The solution(s) are the point(s) of intersection. The graphs can be plotted by making a table of values; this is the best method for the quadratic curve. The straight l...

L:4y=3x+10 -> y=3/4 x + 10/3. M: y= mx+ c such that it passes through the points in question, then m=(-1-8)/(5-(-1))=-3/2. As the gradient of L is not a negative reciprocal of the gradient of M, nor is...

Differentiation is used to calculate the rate of change. For example, if you have the speed of a car (velocity), and you want to find out the how the speed has changed over time (acceleration), you can di...