Question

Asked May 10, 2019

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find the derivative of h(t)=t^3(4t-2)

Step 1

**Note:**

Hi, the given function *h*(*t*) = *t*^3(4*t*–2) is not clearly specified. The equation can be considered in two possible ways. The two possible ways are (1). *h*(*t*) = *t*^{3}(4*t* – 2) and (2). *h*(*t*) = *t*^{3(4t –2)}. Since, we are not sure about your requirement. We are finding the derivative for the two possible ways. Thankyou.

Step 2

**Find the derivative h’(t):**

Consider the function as *h*(*t*) = *t*^{3}*(4*t*–2).

The derivative *h*’(*t*) is obtained as **(16 t^{3} – 6t^{2}) **from the calculation given below:

Step 3

**Find the derivative h’(t):**

Consider the function as *h*(*t*) = *t*3(4*t* –2).

The derivative *h*&rsqu...

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