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Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:12:41 AM
Evaluate f ( x ) at all points found in Step 1. minimum, or neither if f ¢¢ ( c ) = 0 . Evaluate f ( a ) and f ( b ) . Identify the abs. max. (largest function value) and the abs. min.(smallest function value) from the evaluations in Steps 2 & 3.
List of Derivative Rules. Below is a list of all the derivative rules we went over in class. Constant Rule: f(x) = c then f0(x) = 0. Constant Multiple Rule: g(x) = c · f(x) then g0(x) = c · f0(x) Power Rule: f(x) = xn then f0(x) = nxn−1. Sum and Difference Rule: h(x) = f(x)±g(x) then h0(x) = f0(x)±g0(x)
the (n-1)st derivative, fx(n-1)(). Implicit Differentiation Find y¢ if e2xy-9+x32y=+sin(yx)11. Remember y=yx() here, so products/quotients of x and y 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 ...
Symbolab Derivatives Cheat Sheet Derivative Rules: :Power Rule: 𝑑 𝑑𝑥 𝑥𝑎 ;=𝑎⋅𝑥𝑎−1 ;Derivative of a Constant: 𝑑 𝑑𝑥 :𝑎=0 2Sum/Difference Rule:
Basic Properties and Formulas. If f ( x ) and g ( x ) are differentiable functions (the derivative exists), c and n are any real numbers, ( c f ) ′ = c f ′ ( x ) ( f ± g ) ′ = f ′ ( x ) ± g ′ ( x ) ( f g ) ′ = f ′ g + f g ′ – Product Rule. f ′ f ′ g − f g ′.
Derivative Rules. Constant Rule: (c) = 0; where c is a constant dx. 2. Power Rule: (xn) = nxn 1 dx. 3. Product Rule: (fg)0 = f0g + fg0. 4. Quotient Rule:
