Use the deffinition of derivatives to deffrintiate y=-x^{3}+3x-6

hexacordoK

hexacordoK

Answered question

2021-10-15

Use the deffinition of derivatives to deffrintiate y=x3+3x6

Answer & Explanation

krolaniaN

krolaniaN

Skilled2021-10-16Added 86 answers

Step 1
Here the given function is
f(x)=x3+3x6...(1)
Step 2
The definition of derivative says the derivative of f(x) denoted and defined as
f(x)=limh0f(x+h)f(x)h
Step 3
Use the definition of derivative, differentiate the equation (1),
f(x)=limh0f(x+h)f(x)h
=limh0(x+h)3+3(x+h)6(x3+3x6)h
=limh0x3h33x2h+3xh23x+3h6+x33x+6h
=limh0h33x2h+3xh2+3hh
=limh0h(h23x2+3xh+3)h
=limh0(h23x2+3xh+3)
=3x2+3
Hence
f(x)=3x2=3
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-15Added 2605 answers

Answer is given below (on video)

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