Calculus question and answers for November 12, 2023
- Q Find all critical numbers for the following function Then use the second derivative test on each critical number to determine whether it leads to a local maximum or minimum f...
- Q We have determined that g x F x h g x F x h g x g x 8 X and h x cos x where g x 8 In...
- Q So far we have the following d x 20 xy y 20 d dx dx dx d The derivatives x and dx dx d x 20 dx However we note...
- Q DETAILS Find y and y y y SCALCET9 3 6 029 y x In x
- Q Differentiate the function p t In 6 p t
- Q Find the derivative of the function dy dy y 4e5x 2
- Q Find the derivative of the function J 0 tan ne J 0
- Q Find the derivative of the given function y x e 5x 0
- Q Find the derivative of the function f x In 3x 4 4x 5 f x
- Q Find the derivatives of the following functions g x 2x 7x 4 f x 2x 7x 4 5 g x f x
- Q The average blood alcohol concentration BAC of eight male subjects was measured after consumption of 15 mL of ethanol corresponding to one alcoholic drink The resulting data were used to...
- Q Step 2 du We let u 7x and have determined that 7 Applying these gives the following result dx d dx sin u d sin 7x dx 1 du 1...
- Q Differentiate the function f x sin 8 In x Step 1 Recall the Chain Rule in terms of the functions h x and g x which states that if g...
- Q Consider the following equation 4x y 5 a Find y by implicit differentiation y 4x 4x 5 b Solve the equation explicitly for y and differentiate to get y in...
- Q Find the derivative of the function f x sin 7x Step 1 We recall that the derivative of the function y sin x is given by the following 1 1...
- Q Recall the Chain Rule in terms of the functions h x and g x which states that if g is differentiable at x and his differentiable at g x then...
- Q Find the derivative of the function y y 5 tan x 1 x
- Q dx x 20xy y2 20 Step 1 Recall that the method of implicit differentiation consists of differentiating both sides of an equation with respect to x and then solving the...
- Q 54 If h r is a differentiable function with h 1 1 h 2 f 2 given that f x eh x 1 h sin r 2 and h T...
- Q In Problems 50 53 find y using implicit differentiation 50 sec y xy 1
- Q Tutorial Exercise Find the derivative of the function f t 6t sin nt
- Q ous at r a Illustrate each case with a picture 9 How can a function f x fail to be differentiable at a number 1 illustrate each case with a...
- Q Use implicit differentiation to find dy dx and d y dx x3 5 y3 5 8 O dy y2 5 d2y x2 5 dx2 O F O dy y2 5...
- Q Boyle s law states that the volume of a gas varies inversely with applied pressure Suppose the pressure on 60 cubic meters of gas is raised from 1 atmosphere to...
- Q Suppose that a y 82 dy 1 Use the method of implicit differentiation to find da dy dx x3 2 Find the equation of the tangent line at the point...
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