Calculus Archive: Questions from May 21, 2023
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Given f(x,y) = y ln(3x+6y), find fx(x,y) = fy(x,y) =
Given \( f(x, y)=y \ln (3 x+6 y) \) \[ \begin{array}{l} f_{x}(x, y)= \\ f_{y}(x, y)= \end{array} \]2 answers -
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1. Find \( y^{\prime} \) for the following (a) ( 4 marks ) \( y=x^{2} \tan (3 x) \) (b) ( 4 marks ) \( y=\cos ^{4}\left(2 x^{5}+1\right) \).2 answers -
the derivative of f(x)= (3x+1)² is:
La derivada de \( f(x)=(3 x+1)^{2} \) es: a. \( 6(3 x+1) \) b. 6 c. \( 3 x+1 \) d. \( 6(3 x-1) \) e. Ninguna de estas opciones Encuentre \( d y / d x \) en el punto \( \left(\pi, \frac{1}{4}\right) \2 answers -
Determine all the horizontal asymptotes of the graph of \( f(x)=\frac{2 x^{2}-5 x-3}{x^{2}-2 x-3} \) a.) \( y=-1 \) b.) \( y=1 \) c.) \( y=-1, y=3 \) d.) \( y=2 \)2 answers -
calculate the derivative of y= log(4+cos(x))
Calcule la derivada de: \[ y=\log (4+\cos (x)) \] a. \( \frac{-\log (e)(\operatorname{sen}(x))}{4+\cos (x)} \) b. \( -\frac{\operatorname{sen}(x)}{4+\cos (x)} \) c. \( -\frac{\ln (10) \cos (x)}{4+\ope2 answers -
find dy/dx at the point (5,4) on the eclipse defined by x²/25 +y²/16=2
Encuentre \( \frac{d y}{d x} \) en el punto \( (5,-4) \) sobre la elipse definida por \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=2 \) a. \( 4 / 5 \) b. \( -4 / 5 \) c. \( 5 / 4 \) d. \( -5 / 4 \)2 answers -
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