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Popular >

derivative of sin(pi/4 e^{2x})

Solution

\frac{d}{d x} (sin (\frac{π}{4} e^{2 x}))

Solution

cos (\frac{π}{4} e^{2 x}) \frac{π}{2} e^{2 x}

Solution steps

\frac{d}{d x} (sin (\frac{π}{4} e^{2 x}))

Apply the chain rule:

cos (\frac{π}{4} e^{2 x}) \frac{d}{d x} (\frac{π}{4} e^{2 x})

= cos (\frac{π}{4} e^{2 x}) \frac{d}{d x} (\frac{π}{4} e^{2 x})

\frac{d}{d x} (\frac{π}{4} e^{2 x}) = \frac{π}{2} e^{2 x}

= cos (\frac{π}{4} e^{2 x}) \frac{π}{2} e^{2 x}

Popular Examples

derivative of 3x^2(x^3+1^7)

\frac{d}{d x} (3 x^{2} (x^{3} + 1)^{7})

t^2y^{''}-3ty^'+4y=t^2*ln(t)

t^{2} y^{^{''}} - 3 t y^{^{'}} + 4 y = t^{2} \cdot ln (t)

limit as x approaches 0 of x^6ln(x)

x \to 0 lim (x^{6} ln (x))

(\partial)/(\partial x)(I/(sqrt(x*y)))

\frac{\partial}{\partial x} (\frac{I}{x \cdot y})

5y^{''}+y^'=-10x

5 y^{^{''}} + y^{^{'}} = - 10 x

Frequently Asked Questions (FAQ)

What is the derivative of sin(pi/4 e^{2x}) ?
The derivative of sin(pi/4 e^{2x}) is cos(pi/4 e^{2x}) pi/2 e^{2x}
What is the first derivative of sin(pi/4 e^{2x}) ?
The first derivative of sin(pi/4 e^{2x}) is cos(pi/4 e^{2x}) pi/2 e^{2x}