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Find the derivative of the function in the following two ways.x4(x6 + 1)(a) Find the derivative of the function using the Product Rule. [x4(x6 + 1)] =   (b) Find the derivative of the function by multiplying out the function and using the Power Rule. [x4(x6 + 1)] =

Question

Find the derivative of the function in the following two ways.

x4(x6 + 1)
(a) Find the derivative of the function using the Product Rule.
 [x4(x6 + 1)] = 
 
 (b) Find the derivative of the function by multiplying out the function and using the Power Rule.
 [x4(x6 + 1)] = 
 
 
 
 
check_circleAnswer
Step 1

Calculation:

Let f(x) = x4(x6 + 1)

(a)

Compute the derivative of f(x) usi...

d
(x"(x* + 1)
f'(x)
dx
-(1())(1)
) + (x*);
(a21
dx
-(14x)+ (x ) 6x )
= 4x3 4x3 6x
10x +4x
help_outline

Image Transcriptionclose

d (x"(x* + 1) f'(x) dx -(1())(1) ) + (x*); (a21 dx -(14x)+ (x ) 6x ) = 4x3 4x3 6x 10x +4x

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