The point at which the slope of the tangent to attains its minimum

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The point at which the slope of the tangent to f(x)=excos⁡xf(x)=e^x\cos x attains its minimum, for x∈[0,2π]x\in[0,2\pi], is (1) π4\frac{\pi}{4} (2) π2\frac{\pi}{2} (3) 3π4\frac{3\pi}{4} (4) π\pi

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