How do you differentiate # y = 3 x^5  2e^x + 2cosx#?
With regard to x, differentiate each term on the right side of the equation.
May God bless you all. I hope this explanation helps.
By signing up, you agree to our Terms of Service and Privacy Policy
To differentiate the function y = 3x^5  2e^x + 2cos(x) with respect to x, you apply the rules of differentiation. The derivative of each term is calculated separately:

For the term 3x^5:
 The derivative of x^5 with respect to x is 5x^4.
 Multiply this by the coefficient 3 to get 15x^4.

For the term 2e^x:
 The derivative of e^x with respect to x is e^x.
 Multiply this by the coefficient 2 to get 2e^x.

For the term 2cos(x):
 The derivative of cos(x) with respect to x is sin(x).
 Multiply this by the coefficient 2 to get 2sin(x).
Combine these derivatives to get the final result:
dy/dx = 15x^4  2e^x  2sin(x)
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you find the derivative of #Y= x^2 ( x + 1 )^3#?
 How do you use the chain rule to differentiate #f(x)=sin(1/(x^2+1))#?
 Suppose that #f'(x) = 2x# for all #x#. What is #f(2)# if #f(1)=0#? What if #f(2) = 3#?
 If #f(x) =sec^3(x/2) # and #g(x) = sqrt(2x1 #, what is #f'(g(x)) #?
 How do you find the derivative of # ln[x]/x^(1/3)#?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7