Derivatives of the sum of functions Find the derivative of the following functions. f(x)=3x^{4}+7x

Elleanor Mckenzie

Elleanor Mckenzie

Answered question

2021-04-30

Derivatives of the sum of functions Find the derivative of the following functions.
f(x)=3x4+7x

Answer & Explanation

timbalemX

timbalemX

Skilled2021-05-02Added 108 answers

Step 1
We have to find the derivatives of following function:
We know the formula of derivatives,
dxndx=nxn1 (power rule)
daxndx=adxndx (where a is some constant)
dxdx=1
d(constant)dx=0
df(x)dx=f(x)
dg(x)dx=g(x)
Applying above formulae for the given functions:
Differentiating the given function with respect to 'x', we get
df(x)dx=d(3x4+7x)dx
f(x)=3dx4dx+7dxdx
=3(4x41)+7×1
=12x3+7
Hence, derivative of the function is 12x3+7.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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