by nathan mehta period 4 mach 5. find the derivative of f(x)=x 4 [5x-1] 3 ff(x)=x 4 [5x-1] 3...
TRANSCRIPT
DERIVATIVESPRODUCT RULE
By Nathan MehtaPeriod 4MACH 5
Find the Derivative of f(x)=X4[5X-1]3
f(x)=X4[5X-1]3 Original Equation
f’(x)=4X3[5X-1]3 + X4 (3)(5X-1)2 (5) Get the derivative of X4 by using the
Power Rule and leave [5X-1]3 as is Then add X4 and get the derivative of
[5X-1]3 by using the Package Rule
Then multiply by the derivative of 5X-1 by using the Package Rule
Find the Derivative of f(x)=X4[5X-1]3
f’(X)= 4X3[5X-1]3 + 15X4 (5X-1)2 Simplify
f’(X)= X3(5X-1)2 [4 (5X-1) + 15X] Factor
f’(X)= X3(5X-1)2 [20X - 4 + 15X] Simplify
f’(X)= X3(5X-1)2 [35X - 4] Simplify