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Popular >

derivative of 3x-5cos^2(pix)

Solution

\frac{d}{d x} (3 x - 5 cos^{2} (π x))

Solution

3 + 10 π cos (π x) sin (π x)

Solution steps

\frac{d}{d x} (3 x - 5 cos^{2} (π x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (5 cos^{2} (π x))

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (5 cos^{2} (π x)) = - 10 π cos (π x) sin (π x)

= 3 - (- 10 π cos (π x) sin (π x))

Simplify

= 3 + 10 π cos (π x) sin (π x)

Popular Examples

derivative of 4tan(x^3+2x^2)derivative of

4 tan (x^{3} + 2 x^{2})

integral of 1/(x^2+6x+34)

\int \frac{1}{x ^{2} + 6 x + 34} d x

integral from 1 to 3 of (ln(x))/x

\int_{1}^{3} \frac{ln ( x )}{x} d x

slope of (2x+2y)^3=8x^3+8y^3(-1.1)slope

(2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3} (- 1.1)

integral from 1 to 5 of 5/x

\int_{1}^{5} \frac{5}{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 3x-5cos^2(pix) ?
The derivative of 3x-5cos^2(pix) is 3+10picos(pix)sin(pix)
What is the first derivative of 3x-5cos^2(pix) ?
The first derivative of 3x-5cos^2(pix) is 3+10picos(pix)sin(pix)