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Finding a derivative: use the rule of differentiation to find the derivative of the function

Finding a derivative: use the rule of differentiation to find the derivative of the-example-1
User Sklott
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1 Answer

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Given the function:


y=7x^4+2\sin x

Apply the rule of differentiation:


(dy)/(dx)=(d(7x^4))/(dx)+(d(2\sin x))/(dx)

Solve:


\begin{gathered} (d(7x^(4)))/(dx)=7\cdot4x^(4-1)=28x^3 \\ (d(2\sin(x)))/(dx)=2\cos x \end{gathered}

Substitute the derivatives:


(dy)/(dx)=28x^3+2\cos x

Answer:


(dy)/(dx)=28x^(3)+2\cos(x)

User Krisho
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