Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = y³ - 3x²y x = es, y = et S = -5, t= 10 I дw as ?w at 11 ?w at II Evaluate each partial derivative at the given values of s and t. дw as || X = X X

Find the derivative of the function.   ​f(ss​)equals=StartFraction StartRoot s EndRoot minus 3 Over StartRoot s EndRoot plus 5 EndFractions−3s+5          Question content area bottom Part 1 Choose the correct answer below.     A.StartFraction 4 Over left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction StartFraction 4 Over left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction4s−52   B.StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot minus 5 right parenthesis squared EndFraction4ss−52   C.StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot plus 5 right parenthesis squared EndFraction StartFraction 4 Over StartRoot s EndRoot left parenthesis StartRoot s EndRoot plus 5 right parenthesis squared EndFraction4ss+52…

Cacaulte the derivative

Find equations of the tangent line and the normal line to the graph of the function f(x) = 5x² + 8 at the point (-3,53). %3D (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equations in %3D terms of y and x.) tangent line equation: normal line equation: Select the image containing the graph of the function, the tangent line, and the normal line at the indicated point on the same set of coordinate axes.

Let f(x, y) = xex²-y and P = (3,9). Calculate ||Vfpll. (Express numbers in exact form. Use symbolic notation and fractions where needed.) ||Vfp|| = Find the rate of change of f in the direction Vfp. (Express numbers in exact form. Use symbolic notation and fractions where needed.) the rate of change