Calculating derivatives Find dy>dx for the following functions. y=5x^{2}

FizeauV

FizeauV

Answered question

2021-10-04

Calculating derivatives Find dy>dx for the following functions.
y=5x2+cosx

Answer & Explanation

liingliing8

liingliing8

Skilled2021-10-05Added 95 answers

Step 1
To find:
The derivative of y=5x2+cosx.
Formula used:
Sum rule of derivative:
ddx(u+v)=ddx(u)+ddx(v)
Power rule of derivative:
(xn)=nxn1
Trigonometric function derivative:
(cosx)=sinx
Step 2
Calculation:
The derivative of y=5x2+cosx can be obtained as,
dydx=ddx(5x2+cosx)
=ddx(5x2)+ddx(cosx)
=5(2x21)sinx
=10xsinx
Thus, the value is dydx=10xsinx.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-15Added 2605 answers

Answer is given below (on video)

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