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Class 12 math (India)

Lesson 14: Exponential functions differentiation

Differentiate exponential functions

Let y, equals, 10, start superscript, left parenthesis, 2, x, squared, plus, x, cubed, right parenthesis, end superscript.

Find start fraction, d, y, divided by, d, x, end fraction.

(Choice A)
10, start superscript, left parenthesis, 2, x, squared, plus, x, cubed, right parenthesis, end superscript, dot, log, start base, 10, end base, left parenthesis, x, right parenthesis, left parenthesis, 4, x, plus, 3, x, squared, right parenthesis
(Choice B)
10, start superscript, left parenthesis, 2, x, squared, plus, x, cubed, right parenthesis, end superscript, dot, natural log, left parenthesis, 10, right parenthesis
(Choice C)
10, start superscript, left parenthesis, 2, x, squared, plus, x, cubed, right parenthesis, end superscript, dot, natural log, left parenthesis, 10, right parenthesis, left parenthesis, 4, x, plus, 3, x, squared, right parenthesis
(Choice D)
10, start superscript, left parenthesis, 2, x, squared, plus, x, cubed, right parenthesis, end superscript, left parenthesis, 4, x, plus, 3, x, squared, right parenthesis

Stuck?