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Question
Find `dy/dx` if, y = `e^(5x^2 - 2x + 4)`
Sum
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Solution
y = `e^(5x^2 - 2x + 4)`
Differentiating both sides w.r.t.x, we get
`dy/dx = d/dx(e^(5x^2 - 2x + 4))`
`= e^(5x^2 - 2x + 4) * d/dx(5x^2 - 2x + 4)`
`= e^(5x^2 - 2x + 4) * [5(2x) - 2 + 0]`
∴ `dy/dx = (10x - 2)* e^(5x^2 - 2x + 4)`
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