Find out the answer to "Find the indicated derivatives in following problems. a)y=x12..."

iricky827b

Answered question

2021-11-21

Find the indicated derivatives in following problems.
a)

y = x^{12}

b)y=63

Abel Maynard

Beginner2021-11-22Added 19 answers

Step 1
a)

y = x^{12}

\frac{d y}{d x} = \frac{{d x}^{12}}{d x}

\frac{d y}{d x} = 12 (x^{12 - 1})

\frac{d y}{d x} = 12 x^{11}

Step 2
b)
y=63

\frac{d y}{d x} = \frac{d [63]}{d x}

\frac{d y}{d x} = 0

Alfonso Miller

Beginner2021-11-23Added 20 answers

y = x^{12}

The derivative of f(x) with respect to x is defined as:

lim_{h \to 0} [\frac{f (x + h) - f (x)}{h}]

= lim_{h \to 0} (\frac{{(x + h)}^{12} - x^{12}}{h})

lim_{h \to 0} (\frac{{(x + h)}^{12} - x^{12}}{h}) = 12 x^{11}

= 12 x^{11}

b)
y=63
Derivative of x at x=0

\frac{d}{d x} (x) = 1

Jeffrey Jordon

Expert2022-02-01Added 2605 answers

Answer is given below (on video)

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