Find the Derivative Using Product Rule - d/du h(u)=(u- square root of u)(u+ square root of u) ( h(u)=(u-√u)(u+√u)) 相关知识点: 试题来源: 解析 Differentiate using the Product Rule which states that ( d/(du)[f(u)g(u)]) is ( f(u)d/(du)[g(u)]+g(u)d/(du...
Differentiate using the Product Rule which states that ( d/(dy)[f(y)g(y)]) is ( f(y)d/(dy)[g(y)]+g(y)d/(dy)[f(y)]) where ( f(y)=e^y) and ( g(y)=y^e).( e^yd/(dy)[y^e]+y^ed/(dy)[e^y])Differentiate using the Power Rule which states that ( d/(dy)...
Find the derivative of the function by using the product rule. y = 6 x (3 x^2 - 5 x). Find the derivative of the function by using the Product Rule. f(t) = 8t^{4/3}(9t^{2/3} + 2) Use the product rule to find the derivative of f(x) = 3...
Chapter Four USING THE DERIVATIVE In this chapter, the derivative is used to understand the behavior of a function. We see how to locate its maximum and minimum values and its points of inflection, and we see how to analyze the relationship between average and marginal costs. As we saw in...
Find the derivative using the chain rule. {eq}\displaystyle f(x) = \left(\frac{3x - 7}{6x + 3}\right)^{4} {/eq} Differentiation in calculus: We are given a composite rational function and we need to compute the derivative. In this type of cases, we use the chain a...
Find the Derivative Using Product Rule - d/dr (d^2)/(dr^2)(pir^2)( (d^2)/(dr^2)(π r^2
Differentiate using the Product Rule which states that ( d/(dt)[f(t)g(t)]) is ( f(t)d/(dt)[g(t)]+g(t)d/(dt)[f(t)]) where ( f(t)=t^(20)) and ( g(t)=(ln)(|t|)).( t^(20)d/(dt)[(ln)(|t|)]+(ln)(|t|)d/(dt)[t^(20)])Differentiate using the chain...
Answer to: The position of an object at time t is given by s(t) = -1 - 13t. Find the instantaneous velocity at t = 8 by using the derivative. By...
The Second Derivative Chain Rule is used to find the second derivative of a function, while the First Derivative Chain Rule is used to find the first derivative. The Second Derivative Chain Rule also requires the use of the first derivative in its equation....
The chain rule is used to derive the path equation by first expressing the path as a composite function of two other functions, such as position and time. The derivative of the path is then found by applying the chain rule to the composite function. ...