To practice using differentiation formulas and rules sum rule. This publication is intended to fill that gap for finding derivatives, at least. Handout derivative chain rule powerchain rule a,b are constants. Just remember that nhas to be a constant, as it is here in each of the four terms. The following diagram gives the basic derivative rules that you may find useful. Create the worksheets you need with infinite calculus. This is a short worksheet activity that can be used to reinforce the concepts of finding a derivative, plotting it, and relating the graph of the derivative to the graph of the original function. In the last worksheet, you were shown how to find the derivative of functions like efx and singx.
The following is a list of worksheets and other materials related to math 122b and 125 at the ua. Find the derivative with respect to the variable indicated. Practice worksheets for mastery of differentiation. The power rule x n0 nx 1 works for fractional powers n. The chapter headings refer to calculus, sixth edition by hugheshallett et al.
Derivative at a value slope at a value tangent lines normal lines points of horizontal tangents rolles theorem mean value theorem intervals of increase and decrease intervals of concavity relative extrema absolute extrema optimization curve sketching comparing a function and its derivatives motion along a line related rates differentials newtons method. Do simplify your answers so we can compare results. Derivative of exponential function jj ii derivative of. You may also use any of these materials for practice. Taking the derivative of y, we obtain y0 3 2 x 1 2. Taking the derivative again yields the second derivative. B the second derivative is just the derivative of the rst derivative. Fortunately, we can develop a small collection of examples and rules that.
Remember that if y fx is a function then the derivative of y can be represented by dy dx or y0 or f0 or df dx. Math 171 derivative worksheet differentiate these for fun, or. Compute the derivatives of the following functions. Constant rule, constant multiple rule, power rule, sum rule, difference rule, product rule, quotient rule, and chain rule. Compare the methods of nding the derivative of the following functions. More elegant proofs of our conjectures derivatives of the basic sine and cosine functions 1 d x sinx cosx 2 d x cosx sinx version 2 of the limit definition of the derivative function in section 3. Differentiate these for fun, or practice, whichever you need. Scroll down the page for more examples, solutions, and derivative rules. About the worksheets this booklet contains the worksheets that you will be using in the discussion section of your course. Differentiate the following functions using the power rule. The derivative of the outer function 2u is 2u ln2 2 sinxln2 and the derivative of the inner. Math 122b first semester calculus and 125 calculus i.
For this problem, you dont have to state which rules you used. Basic derivatives practice worksheet try your best on this and finish. Differentiation rules compute the derivatives using the differentiation rules, especially the product, quotient, and chain rules. Calculus derivative rules formulas, examples, solutions. Suppose we have a function y fx 1 where fx is a non linear function. Handout derivative power rule power first rules a,b are constants. Derivative worksheets include practice handouts based on power rule, product rule, quotient rule, exponents, logarithms, trigonometric angles, hyperbolic functions, implicit differentiation and more. Using negative indices, differentiate by using the product rule. The teacher should use this activity shortly after teaching the product rule andor the quotient rule. C n2s0c1h3 j dkju ntva p zs7oif ktdweanrder nlqljc n.
Ap calculus ab worksheet 22 derivatives power, package. Here, we represent the derivative of a function by a prime symbol. Derivatives using power rule sheet 1 find the derivatives. Summary of derivative rules spring 2012 1 general derivative.
Finding derivatives of implicit functions is an involved mathematical calculation, and this quiz and worksheet will allow you to test your understanding of performing these calculations. Derivatives of exponential and logarithmic functions. The questions emphasize qualitative issues and answers for them may vary. This is a test for a calculus bc unit over derivative rules, which is unit 2 of 11 in my class. Practice worksheets for mastery of differentiation crystal clear. This quiz takes it a step further and focuses on your ability to apply the rules of differentiation when calculating derivatives. If yfx then all of the following are equivalent notations for the derivative. Use the limit definition of derivative to find the derivatives of the functions in roblems 14. Each worksheet contains questions, and most also have problems and additional problems. Apply the power rule of derivative to solve these pdf worksheets.