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Popular >

derivative of tan(pix-1+e^{cos(x)})

Solution

\frac{d}{d x} (tan (π x - 1) + e^{c o s (x)})

Solution

sec^{2} (π x - 1) π - e^{c o s (x)} sin (x)

Solution steps

\frac{d}{d x} (tan (π x - 1) + e^{c o s (x)})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (tan (π x - 1)) + \frac{d}{d x} (e^{c o s (x)})

\frac{d}{d x} (tan (π x - 1)) = sec^{2} (π x - 1) π

\frac{d}{d x} (e^{c o s (x)}) = - e^{c o s (x)} sin (x)

= sec^{2} (π x - 1) π - e^{c o s (x)} sin (x)

Popular Examples

derivative of y=(x-1)^3 derivative of

y = (x - 1)^{3}

integral of tan(x)ln(cos(x))

\int tan (x) ln (cos (x)) d x

integral of (x^2)/(x^2+4)

\int \frac{x ^{2}}{x ^{2} + 4} d x

area y=x^2-1,y=2x-1,y=x+1 area

y = x^{2} - 1, y = 2 x - 1, y = x + 1

tangent of y= 2/(1+x^2),(3,0.2)tangent of

y = \frac{2}{1 + x ^{2}}, (3, 0.2)

Frequently Asked Questions (FAQ)

What is the derivative of tan(pix-1+e^{cos(x)}) ?
The derivative of tan(pix-1+e^{cos(x)}) is sec^2(pix-1)pi-e^{cos(x)}sin(x)
What is the first derivative of tan(pix-1+e^{cos(x)}) ?
The first derivative of tan(pix-1+e^{cos(x)}) is sec^2(pix-1)pi-e^{cos(x)}sin(x)