The Derivative of a Power Function You can use the slope/limit method to calculate the derivatives of functions where y equals x to the power of a, or y(x) = x^a. For instance, if y equals x cubed, y(x) = x^3, then dy/dx is the limit as h goes to zero of [(x + h)^...
There are a lot of functions of which the derivative can be determined by a rule. Then you do not have to use the limit definition anymore to find it, which makes computations a lot easier. All these rules can be derived from the definition of the derivative, but the computations can so...
Suggested Reading: How to Find the Derivative of a Function Where do these lines intersect? Parallel Lines To illustrate what happens if the two lines are parallel there is the following example. Again we have two lines, but this time with the same slope.y...
(_x), _x), _x, 0) + x**2*Subs(Derivative(f(_x), (_x, 2)), _x, 0)/2 + x**3*Subs(Derivative(f(_x), (_x, 3)), _x, 0)/6 + x**4*Subs(Derivative(f(_x), (_x, 4)), _x, 0)/24 + x**5*Subs(Derivative(f(_x), (_x, 5)), _x, 0)/120 + O(x*...
What is a derivative? How to find the equation of a circle? What is an equation? How do you multiply (2x - 3)^2? How do you draw a line of best fit through a set of points on a scatter graph? How to determine the midpoint of each line segment with the given endpoints ...
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from Chapter 18 / Lesson 12 32K What is a Partial Derivative? Learn what symbol is used for partial derivatives. Learn to define first and second order partial derivatives. Learn the rules and formula for partial derivatives. Work through partial derivative examples with solutions. ...
Is a tangent line to a circle infinite? Does it go on forever or just sometimes? Compute the exact value of the following sum: \sum_{k=1}^{\infty} \frac{2^k}{5^{k+1 Find the derivative of f(x) = 2\cos(3x+2) How can one develop and execute a closure plan for a project...
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Find the derivative of f(x) = 2\cos(3x+2) A car has an initial value of $26,000 and depreciates by 20% every year. Write an equation to demonstrate this. How can one calculate intrinsic value of stocks? How do you find the carrying capacity of a certain population?