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SS17 Derivative Worksheet. Name: The purpose of this worksheet is to provide an opportunity to practice differentiation formulas for section 005.

Derivative Worksheet #1 Find the derivative of the following functions: 1. f(t) = 7t – 12 2. f(x) = 6 3. f(x) = 12x 4 + 3x 2 + 7 4. y = -6x³ + 5x² - 8x + 2 5. d(t) = 360 + 40t – 16t² 6. g(t) = 7t 4 – 4t 3 + 6t 2 + 9t – 19 7. y = 2 – 4x + 7x² – 9x³ 8. f(x) = 0 9. f(x) = e x 10. f(x) = e 2 11. f(t) = (t + 2)(t - …

Derivative of usual functions . ... Graphically, the derivative of a function corresponds to the slope of its tangent line at one specific point.

List of Derivative Rules. Below is a list of all the derivative rules we went over in class. • Constant Rule: f(x) = c then f (x)=0.

Derivatives Definition and Notation If yfx then the derivative is defined to be 0 lim h fx h fx fx h . If yfx then all of the following are equivalent notations for the derivative. fx y fx Dfx df dy d dx dx dx If yfx all of the following are equivalent notations for derivative evaluated at x a.

dx dx dx'. Calculus Cheat Sheet. Derivatives. Definition and Notation tt y = f (x) then the derivative is defi ned to be f ' (x)'.

Symbolab Derivatives Cheat Sheet. Derivative Rules: • Power Rule: . . ( ) = ⋅ −1. • Derivative of a Constant: .

Calculus Cheat Sheet ... then the derivative is defined to be ( ) ... g x are differentiable functions (the derivative exists), c and n are any real numbers ...

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 ...

ListofDerivativeRules Belowisalistofallthederivativeruleswewentoverinclass. • Constant Rule: f(x)=cthenf0(x)=0 • Constant Multiple Rule: g(x)=c·f(x)theng0(x)=c ...

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 ...

Derivatives Cheat Sheet. Derivative Rules. 1. Constant Rule: d dx. (c)=0, where c is a constant ... Common Derivatives. Trigonometric Functions.

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DERIVATIVES AND INTEGRALS. Basic Differentiation Rules. 1. [cu] = cu'. + v] = u' + v' uv] = uv' + vu'. = 11. Iu. ), u #0. 7. 6[] = 1. 10.[em] = e*ui.

MATH 171 - Derivative Worksheet Differentiate these for fun, or practice, whichever you need. The given answers are not simplified. 1. f(x) = 4x5 −5x4 2. f(x) = ex sinx 3. f(x) = (x4 +3x)−1 4. f(x) = 3x2(x3 +1)7 5. f(x) = cos4 x−2x2 6. f(x) = x

To build speed, try calculating the derivatives on the first sheet mentally … and have a friend or parent check your answers. If you are a teacher, please note that the sheets have been designed so that they may be laminated back-to-back (questions on one side and answers on the other) and used in a classroom setting.