Calculus question and answers for October 23, 2023
- Q Considersec(3y) + sec(10x) = sec (3y)sec (10x)Determine the derivative of y with respect to x.dydx
- Q Consider- 8 ln (xy) - 5xy = ? 5Determine the derivative of y with respect to x.y' =
- Q Consider7-4=Determine the derivative of y with respect to x.dydx||x-1y-8
- Q Consider18Determine the derivative of y with respect to x.dydx==- 3x + yx - 6y
- Q Let h(z) = InDetermineh'(z) =?7z+8the derivative of h.
- Q Let g(x)Determineg'(x) ==g'(1) =- tan(- 9x)the derivative ofg.Determine the slope of g at x = 1.
- Q Write the equation of the line tangent to the graph of y = 6y + 6x + 22 at (-1, -2).The equation is
- Q Let g(x) = ln (5x - 20)Determinethe derivative of g.g'(x) =Determine the slope of g at x = 7.g'(7) =
- Q 14x - 9 + 9xUse the chain rule to determine the derivative of f.Let f(x)=f'(x) =Determine the slope of f at x = 2.f'(2) =CAR
- Q Consider2.87xy = cot (8xy)Determine the derivative of y with respect to x.dydx=
- Q Let h(x) = 4 tan (8x)Determine the derivative of h.h'(x) =Determine the slope of h at x = 9.h'(9) =
- Q Let g(v) = ln(3v + 1)-6Determine the derivative of g.dgdv=Determine the slope of g at v = - 8.g'( ? 8) =
- Q Use this definition to find f'(a) at the given number a.f(x) =5x+1 a = 3
- Q ;)Determine the derivative of g.Let g(t) = Indgdt8t=t - 12
- Q Givenh(x) = g(f(x)) At x = 0, the equation of the tangent line of g is y = 3x - 1. At x = 5, the equation of the tangent...
- Q Consider26x7 + 3x65y + y0 = 3010Determine the derivative of y with respect to x.dydxDetermine the equation of the tangent line to the curve at (1, 1). Report the solution...
- Q Use implicit differentiation to determinedydxdygiven the equation xy + sin(x) = tan(y).dx
- Q Let h(y) In(7y - 1)Determine the derivative of h.h'(y)=Determine the interval(s) on which h is differentiable. Report the solution using invterval notation.h is differentiable on
- Q Consider8y 6 ln y - x6 = 11Determine the derivative of y with respect to x.dydx
- Q Consider? x - xy + 6y5 = ? 6Determine the derivative of y with respect to x.y' =
- Q ConsiderDetermine the derivative of y with respect to x.y'cos(xy) = y=
- Q ConsiderDetermine the derivative of y with respect to x.dydx=xe8 = 5y
- Q Let h(w) = 4w - 8 log3 (66)Determine the value(s) of w, if any, for which h has a horizontal tangent line. If mulitple such values of wexist, use a...
- Q Natasha records the price for a gallon of home-heating oil from 20 randomly selected providers in her region on May 15.She does it again with another 20 randomly selected providers...
- Q Find the derivative of the algebraic function H(x)=(x-5)(x +3)
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