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A: TABLE OF BASIC DERIVATIVES Let u = u(x) be a differentiable function of the independent variable x, that is u(x) exists. (A) The Power Rule : Examples : d dx {un} = nu n−1. u d dx {(x3 + 4x + 1)3/4} = 3 4 (x3 + 4x + 1)−1/4.(3x2 + 4) d dx {u} = 1 2 u.u d dx { 2 − 4x2 + 7x5} = 1 2 2 − 4x2 + 7x5 (−8x + 35x4) d dx {c} = 0 , c is a ...

Common Derivatives and Integrals Provided by the Academic Center for Excellence 1 Reviewed June 2008 Common Derivatives and Integrals Derivative Rules: 1. Constant Multiple Rule [ ]cu cu dx d = ′, where c is a constant. 2. Sum and Difference Rule [ ]u v u v dx d ± = ±′ 3. Product Rule [ ]uv uv vu dx d = +′ 4. Quotient Rule v2 vu uv v u ...

List of Common Derivatives: Constant Functions (e.g. y = 1, y = 44) Derivative of X Derivative of 2x Derivative of 3x TI-89 Example Derivatives of e & e x ln (natural log) Sin 3x Common Derivative Rules Common Derivatives The derivative of sin 3 x The derivative of sin3x is 3sin2x cos x.

Derivatives Cheat Sheet Derivative Rules 1. Constant Rule: d dx (c) = 0; where c is a constant 2. Power Rule: d dx (xn) = nxn 1 3. Product Rule: (fg)0 = f0g +fg0 4. Quotient Rule: f g 0 = f0g 0fg g2 5. Chain Rule: (f(g(x))0 = f0(g(x))g0(x) Common Derivatives Trigonometric Functions d dx (sinx) = cosx d dx (cosx) = sinx d dx (tanx) = sec2 x d dx ...

A: TABLE OF BASIC DERIVATIVES Let u = u(x) be a differentiable function of the independent variable x, that is u(x) exists. (A) The Power Rule : Examples : d dx {un} = nu n−1. u ddx {(x3 + 4x + 1)3/4} = 34 (x3 + 4x + 1)−1/4.(3x2 + 4)d dx {u} = 12 u.u d dx { 2 − 4x2 + 7x5} = 1 2 2 − 4x2 + 7x5 (−8x + 35x4) d dx {c} = 0 , c is a constant ddx {6} = 0 , since ≅ 3.14 is a constant.

Common derivatives review · Polynomials · Radicals · Trigonometric functions · Exponential functions · Logarithmic functions · Inverse trigonometric functions.

Common Derivatives and Integrals ... Derivative of the Natural Logarithmic Function ... but we do not have a formula in our list that can find.

Table of derivatives Introduction This leaflet provides a table of common functions and their derivatives. 1. The table of derivatives y = f(x) dy dx = f′(x) k, any constant 0 x 1 x2 2x x3 3x2 xn, any constant n nxn−1 ex ex ekx kekx lnx = log e x 1 x sinx cosx sinkx kcoskx cosx −sinx coskx −ksinkx tanx = sinx cosx sec2 x tankx ksec2 kx ...

The Derivative tells us the slope of a function at any point. ... There are rules we can follow to find many derivatives. ... Common Functions, Function

File:List of Common Derivatives of Trigonometric Functions.png ... No higher resolution available.

Common Derivatives Polynomials ()0 d c dx = ()1 d x dx = ( ) d cxc dx = (nn) 1 d xnx dx =-d(cxnn) ncx 1 dx =-Trig Functions (sin) cos d xx dx = (cos) sin d xx dx =-(tan) sec2 d xx dx = (sec) sectan d xxx dx = (csc) csccot d xxx dx =-(cot) csc2 d xx dx =-Inverse Trig Functions (1) 2 1 sin 1 d x dx x-=-(1) 2 1 cos 1 d x dx x-=--(1) 2 1 tan 1 d x ...

Above is a list of the most common derivatives you’ll find in a derivatives table. If you aren’t finding the derivative you need here, it’s possible that the derivative you are looking for isn’t a generic derivative (i.e. you actually have to figure out the derivative from scratch).

Common Derivatives and Integrals Provided by the Academic Center for Excellence 1 Reviewed June 2008 Common Derivatives and Integrals Derivative Rules: 1. Constant Multiple Rule [ ]cu cu dx d = ′, where c is a constant. 2. Sum and Difference Rule [ ]u v u v dx d ± = ±′ 3. Product Rule [ ]uv uv vu dx d = +′ 4. Quotient Rule v2 vu uv v u ...

Common Derivatives Polynomials ()0 d c dx = ()1 d x dx = ( ) d cxc dx = (nn) 1 d xnx dx =-d(cxnn) ncx 1 dx =-Trig Functions (sin) cos d xx dx = (cos) sin d xx dx =-(tan) sec2 d xx dx = (sec) sectan d xxx dx = (csc) csccot d xxx dx =-(cot) csc2 d xx dx =-Inverse Trig Functions (1) 2 1 sin 1 d x dx x-=-(1) 2 1 cos 1 d x dx x-=--(1) 2 1 tan 1 d x ...

Integration is the basic operation in integral calculus. While differentiation has straightforward rules by which the derivative ... This page lists some of the most common antiderivatives.

Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins Inverse Trig Functions 1 22

Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins Inverse Trig Functions 1 22

This leaflet provides a table of common functions and their derivatives. 1. The table of derivatives y = f(x) dy dx.

Common Derivatives ... will use the product/quotient rule and derivatives of y will use the chain rule. The “trick” is to differentiate as normal and every time you differentiate a y you tack on a y (from the chain rule). After differentiating solve for y . ...

Common Derivative Rules ; arccsc x = -1 / (|x| √ (x2 – 1)) ; arccos x = -1 / (√ (1- x2)) ; arcsec x = 1 / (|x| √ (x2) – 1) ; arctan x = 1 / (1 + x2) ; arccot x = ...

Common Derivatives and Integrals. Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins. Derivatives.