Get the solution to "Find the indicated derivatives. drdsifr=s3−2s2+3" - Plainmath

Tammy Todd

Answered question

2021-03-05

Find the indicated derivatives.

\frac{d r}{d s} if r = s^{3} - 2 s^{2} + 3

Answer & Explanation

Bella

Skilled2021-03-07Added 81 answers

Step 1
Given:

r = s^{3} - 2 s^{2} + 3

for finding value of

\frac{d r}{d s}

, we differentiate given function with respect to s
Step 2
so,

\frac{d r}{d x} = \frac{d}{d x} (s^{3} - 2 s^{2} + 3)

= \frac{d}{d s} (s^{3}) - 2 \frac{d}{d s} (s^{2}) + \frac{d}{d s} (3)

(∵ \frac{d}{d x} (x^{n}) = n x^{n - 1})

= 3 s^{2} - 2 (2 s) + 0

= 3 s^{2} - 4 s

hence,

\frac{d r}{d s}

is equal to

3 s^{2} - 4 s

.

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