The derivative of cos(4x) is -4*sin(4x)while the general derivative form of cos(y) is -dy*sin(y). Since there is a variable contained in the bracket, the derivative of it must also be taken due to the chain rule. Since t... More »

The derivative of csc(x) with respect to x is -cot(x)csc(x). One can derive the derivative of the cosecant function, csc(x), by using the chain rule. More »

The derivative of 2sin(x) is 2cos(x). To compute this derivative, the derivatives of the trigonometric functions need to be memorized and the constant multiple rule applied. More »

To find the slope of the tangent line to the graph of a function at a point, find the derivative of the function, then plug in the x-value of the point. Completing the calculation takes just a few minutes by hand, or a c... More »

According to South Eastern Louisiana University, to solve for the x and y intercepts in a linear equation of the form y = mx + b, set one of the variables, either x or y depending on the desired intercept, equal to zero,... More » Math Algebra

In math, chemistry and physics, solving for indicated variables in different formulas involves having to manipulate the formula equation until it is in the desired form. An example of this is the area formula for a trian... More »

The slope intercept form for a line is expressed as y = mx + b. In that equation, y is the value of the y-coordinate, x is the value of the x-coordinate, m is the value of the slope, and b is the value of the y-intercept... More » Math Algebra