The first above written rule is known as the sum rule, the second is the constant multiple rule, the third is the product rule and the fourth is the power rule of differentiation.Answer and Explanation: Using the rules of differentiation we have to find th...
https://socratic.org/questions/how-do-you-differentiate-g-x-1-sin-2-2-x-1-cos-2-x-using-the-product-rule dxdg=−sin(4−2x)(1+cos2x)+sin2x(1+sin2(2−x)) ... How do you simpl...
Learn more about this topic: Integration by Substitution Steps & Examples from Chapter 13 / Lesson 5 31K Explore the steps in integration by substitution. Learn the importance of integration with the chain rule and see the u-substitution formula with various examples. ...
Since this is an indeterminate form, we can apply L'Hôpital's Rule: limx→0f′(x)x=limx→0f′′(x) Step 4: Evaluate f′′(0) We would need to differentiate f′(x) again and evaluate at x=0. However, since f′(0)=0, we can conclude: limx→0f′(x)x=0 Final Answer...
赞同(1)f(x) =sin2x+2√3(cosx)^2+3-√3= sin2x+√3cos2x +3= 2sin(2x+π/3) +3最小正周期=π(2)f(A)=f(B)=3+√3A1=√3To find: cf(A) = 2sin(2A+π/3) +3 = 3+√3sin(2A+π/3)=√3/22A+π/3 = 2π/3A=π/6B=π/6C=2π/3by sine rulea/...
https://socratic.org/questions/how-do-you-differentiate-g-x-1-sin-2-2-x-1-cos-2-x-using-the-product-rule dxdg=−sin(4−2x)(1+cos2x)+sin2x(1+sin2(2−x)) ... How do you simplify...
With the help of L'Hospitals' rule, we can simplify the function and find the limit. We use L'Hospital's rule if the limit is in indeterminate form, i.e., in 00 form. We'll differentiate the function. The numerator and denominator will be ...
y=f(x)=? Solution $$\begi... Learn more about this topic: First-Order Linear Differential Equation | Definition & Examples from Chapter 16/ Lesson 3 7.3K Learn to define what a linear differential equation and a first-order linear equation are...
1) Given f(x)=sin(2x)+cos(x2−3x+4), find f′(x) and f″(x). 2) Given f(x)=e2x3−x(4−5x+6x4), find f′(x) Properties of Derivative: Product Rule of Derivative Suppose f(x) and g(x) are two differentia...
54K The rules of differentiation are useful to find solutions to standard differential equations. Identify the application of product rule, quotient rule, and chain rule to solving these equations through examples. Related to this Question Explore our homework questions and ...