Write the formula for the derivative of the function. f(x)=12x^{4}+19x^{3}+9 f'(x)=

jernplate8 2021-11-10 Answered
Write the formula for the derivative of the function.
f(x)=12x4+19x3+9
f'(x)=
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Expert Answer

Nathanael Webber
Answered 2021-11-11 Author has 117 answers
Step 1
To differentiate the given functions
Step 2
Basic rule for differentiating powers of x
Basic rule:
ddx(xn)=nxn1
Step 3
Apply the basic rule to both functions (recall, derivative of sum is sum of derivatives)
f(x)=12x4+19x3+9
f(x)=ddx(12x4+19x3+9)
=12ddx(x4)+19ddx(x3)+0(n=0)
=48x3+57x2
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