Question

If y=2x^5.cosx, differentiate with respect to x.

x^4(5cosx−xsinx)
2x^4(5cosx−sinx)
2x^4(cosx−xsinx)
2x^4(5cosx−xsinx)

Answer 1

47075, Math, Differential Calculus

If $y = 2x^5 \cos x$, differentiate with respect to $x$.

a) $x^4 (5\cos x - x\cdot \sin x)$

b) $2x^4 (5\cos x - \sin x)$

c) $2x^4 (\cos x - x \cdot \sin x)$

d) $2x^4 (5\cos x - x\cdot \sin x)$

Solution:

$$y' = (2x^5 \cos x)' = 2 \cdot 5 \cdot x^4 \cdot \cos x + 2x^5 \cdot (-\sin x) = 2x^4 (5 \cos x - x \cdot \sin x)$$

Answer: d) $2x^4 (5\cos x - x \cdot \sin x)$

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