Calculus Archive: Questions from July 19, 2023
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Homework Problem 6 Find all the second partial derivatives. \[ f(x, y)=x^{6} y^{5}+9 x^{9} y \] \[ \begin{array}{l} f_{x x}(x, y)= \\ f_{x y}(x, y)= \\ f_{y x}(x, y)= \\ f_{y y}(x, y)= \end{array} \]2 answers -
Find the absolute minimum value of the given function on the specified interval. f(x) = x² = 5x + 1; [0,2] - OA) y = 0 OB) y = -21 Oc) y = -5 OD) y = 1 E) y = -10
Find the absolute minimum value of the given function on the specified interval. \[ f(x)=x^{2}-5 x+1 ;[0,2] \] A) \( y=0 \) B) \( y=-\frac{21}{4} \) C) \( y=-5 \) D) \( y=1 \) E) \( y=-10 \)2 answers -
Find the absolute maximum value of the given function on the specified interval. f(x) = 3x² - 4x³; [1,2] OA) y = 16 B) y = 48 c) y = -24 OD) y = 7 E) y = -1
Find the absolute maximum value of the given function on the specified interval. \[ f(x)=3 x^{4}-4 x^{3} ; \quad[-1,2] \] A) \( y=16 \) B) \( y=48 \) C) \( y=-24 \) D) \( y=7 \) E) \( y=-1 \)2 answers -
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dy Find where y = sin 1 (2x+5)
\( \frac{d y}{d x} \) where \( y=\sin ^{-1}\left(\frac{1}{2 x+5}\right) \).2 answers -
12,26,30,38
Finding Derivatives In Exercises 7-38, find the derivative of \( y \) with respect to \( x, t \), or \( \theta \), as appropriate. 7. \( y=\ln 3 x \) 8. \( y=\ln k x, k \) constant 9. \( y=\ln \left(t2 answers -
Siven \( y=2 x^{3}-54 x+17 \) Find \( y^{\prime}= \) Find \( y^{\prime \prime}= \) Critical values of \( y^{\prime} \) at \( x= \) No Critical values of \( y^{\prime} \) Critical values of \( y^{\prim2 answers -
11,15,21,23,27,29
9-36 Find the first partial derivatives of the function. 9. \( f(x, y)=x^{4}+5 x y^{3} \) 10. \( f(x, y)=x^{2} y-3 y^{4} \) ก. \( g(x, y)=x^{3} \sin y \) 12. \( g(x, t)=e^{n t} \) 13. \( z=\ln \left2 answers -
47, 51
47-52 Find all the second partial derivatives. 17. \( f(x, y)=x^{4} y-2 x^{3} y^{2} \) 48. \( f(x, y)=\ln (a x \) 49. \( z=\frac{y}{2 x+3 y} \) 50. \( T=e^{-2 r} \cos \theta \) 57. \( v=\sin \left(s^{2 answers -
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Encuentra las ecuaciones de todas las rectas con pendiente -3 que son tangentes a la curva y= 12/x+31 answer
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