What is the derivative of this function #sin(x^2+1)#?
2 Answers
Jan 23, 2017
Explanation:
differentiate using the
#color(blue)"chain rule"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx[sin(f(x))]=cos(f(x)).f'(x))color(white)(22)|)))#
#rArrd/dx[sin(x^2+1)]=cos(x^2+1).d/dx(x^2+1)#
#=2xcos(x^2+1)#
Jan 23, 2017
Explanation:
Let
Thus,
As per the Chain Rule , then, we have,
Now,
From
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